Third Quarter Ended March 29, 2020 (Unaudited Results) May 1, 2020 Conference Call Presentation Exhibit 99.3

  Cautionary Statement on Forward-Looking Statements Certain statements included herein contain “forward-looking statements” within the meaning of federal securities laws about the financial condition and results of operations of the Company that are based on management’s beliefs, assumptions and expectations about our future economic performance, considering the information currently available to management. An example of such forward-looking statements include, among others, guidance pertaining to our financial outlook. The words “believe,” “may,” “could,” “will,” “should,” “would,” “anticipate,” “plan,” “estimate,” “project,” “expect,” “intend,” “seek,” “strive” and words of similar import, or the negative of such words, identify or signal the presence of forward-looking statements. These statements are not statements of historical fact, and they involve risks and uncertainties that may cause our actual results, performance or financial condition to differ materially from the expectations of future results, performance or financial condition that we express or imply in any forward-looking statement. Factors that could contribute to such differences include, but are not limited to: the competitive nature of the textile industry and the impact of global competition; changes in the trade regulatory environment and governmental policies and legislation; the availability, sourcing and pricing of raw materials; general domestic and international economic and industry conditions in markets where the Company competes, including economic and political factors over which the Company has no control; changes in consumer spending, customer preferences, fashion trends and end uses for products; the financial condition of the Company’s customers; the loss of a significant customer or brand partner; natural disasters, industrial accidents, power or water shortages, extreme weather conditions and other disruptions at one of our facilities; the disruption of operations, global demand, or financial performance as a result of catastrophic or extraordinary events, including epidemics or pandemics such as the recent strain of coronavirus; the success of the Company’s strategic business initiatives; the volatility of financial and credit markets; the ability to service indebtedness and fund capital expenditures and strategic business initiatives; the availability of and access to credit on reasonable terms; changes in foreign currency exchange, interest and inflation rates; fluctuations in production costs; the ability to protect intellectual property; the strength and reputation of our brands; employee relations; the ability to attract, retain and motivate key employees; the impact of environmental, health and safety regulations; the impact of tax laws, the judicial or administrative interpretations of tax laws and/or changes in such laws or interpretations; the operating performance of joint ventures and other equity method investments; and the accurate financial reporting of information from equity method investees. All such factors are difficult to predict, contain uncertainties that may materially affect actual results and may be beyond our control. New factors emerge from time to time, and it is not possible for management to predict all such factors or to assess the impact of each such factor on the Company. Any forward-looking statement speaks only as of the date on which such statement is made, and we do not undertake any obligation to update any forward-looking statement to reflect events or circumstances after the date on which such statement is made, except as may be required by federal securities laws. The above and other risks and uncertainties are described in the Company’s most recent Annual Report on Form 10-K, and additional risks or uncertainties may be described from time to time in other reports filed by the Company with the Securities and Exchange Commission pursuant to the Securities Exchange Act of 1934, as amended. Non-GAAP Financial Measures Certain non-GAAP financial measures are designed to complement the financial information presented in accordance with GAAP. These non-GAAP financial measures include Earnings Before Interest, Taxes, Depreciation and Amortization (“EBITDA”), Adjusted EBITDA, Adjusted Net Income, Adjusted EPS, Adjusted Working Capital and Net Debt (collectively, the “non-GAAP financial measures”). • EBITDA represents Net (loss) income before net interest expense, income tax expense, and depreciation and amortization expense. • Adjusted EBITDA represents EBITDA adjusted to exclude equity in earnings of Parkdale America, LLC (“PAL”) and, from time to time, certain other adjustments necessary to understand and compare the underlying results of the Company. • Adjusted Net Income (Loss), which represents Net (loss) income calculated under GAAP, adjusted to exclude certain amounts which management believes do not reflect the ongoing operations and performance of UNIFI and/or which are necessary to understand and compare the underlying results of UNIFI; • Adjusted EPS, which represents Adjusted Net Income (Loss) divided by UNIFI’s weighted average common shares outstanding; • Adjusted Working Capital represents receivables plus inventory and other current assets, less accounts payable and accrued expenses, which is an indicator of the Company’s production efficiency and ability to manage its inventory and receivables. • Net Debt represents debt principal less cash and cash equivalents. The non-GAAP financial measures are not determined in accordance with GAAP and should not be considered a substitute for performance measures determined in accordance with GAAP. The calculations of the non-GAAP financial measures are subjective, based on management’s belief as to which items should be included or excluded in order to provide the most reasonable and comparable view of the underlying operating performance of the business. The Company may, from time to time, modify the amounts used to determine its non-GAAP financial measures. We believe that these non-GAAP financial measures better reflect the Company’s underlying operations and performance and that their use, as operating performance measures, provides investors and analysts with a measure of operating results unaffected by differences in capital structures, capital investment cycles and ages of related assets, among otherwise comparable companies. Management uses Adjusted EBITDA (i) as a measurement of operating performance because it assists us in comparing our operating performance on a consistent basis, as it removes the impact of (a) items directly related to our asset base (primarily depreciation and amortization) and (b) items that we would not expect to occur as a part of our normal business on a regular basis; (ii) for planning purposes, including the preparation of our annual operating budget; (iii) as a valuation measure for evaluating our operating performance and our capacity to incur and service debt, fund capital expenditures and expand our business; and (iv) as one measure in determining the value of other acquisitions and dispositions. Adjusted EBITDA is a key performance metric utilized in the determination of variable compensation. We also believe Adjusted EBITDA is an appropriate supplemental measure of debt service capacity, because it serves as a high-level proxy for cash generated from operations. Equity in earnings of PAL is excluded from Adjusted EBITDA because such results do not reflect our operating performance. Management uses Adjusted Net Income (Loss) and Adjusted EPS (i) as measurements of net operating performance because they assist us in comparing such performance on a consistent basis, as they remove the impact of (a) items that we would not expect to occur as a part of our normal business on a regular basis and (b) components of the provision for income taxes that we would not expect to occur as a part of our underlying taxable operations; (ii) for planning purposes, including the preparation of our annual operating budget; and (iii) as measures in determining the value of other acquisitions and dispositions. Management uses Adjusted Working Capital as an indicator of the Company’s production efficiency and ability to manage inventory and receivables. In the first quarter of fiscal 2019, in connection with changes to balance sheet presentation required by the adoption of new revenue recognition guidance, the Company updated the definition of Adjusted Working Capital to include Other current assets for current and historical calculations of the non-GAAP financial measure. Other current assets includes amounts capitalized for future conversion into inventory or receivables (e.g., vendor deposits and contract assets), and management believes that its inclusion in the definition of Adjusted Working Capital improves the understanding of the Company’s capital that is supporting production and sales activity. Management uses Net Debt as a liquidity and leverage metric to determine how much debt would remain if all cash and cash equivalents were used to pay down debt principal. In evaluating non-GAAP financial measures, investors should be aware that, in the future, we may incur expenses similar to the adjustments included herein. Our presentation of non-GAAP financial measures should not be construed as indicating that our future results will be unaffected by unusual or non-recurring items. Each of our non-GAAP financial measures has limitations as an analytical tool, and you should not consider it in isolation or as a substitute for analysis of our results or liquidity measures as reported under GAAP. Some of these limitations are (i) it is not adjusted for all non-cash income or expense items that are reflected in our statements of cash flows; (ii) it does not reflect the impact of earnings or charges resulting from matters we consider not indicative of our ongoing operations; (iii) it does not reflect changes in, or cash requirements for, our working capital needs; (iv) it does not reflect the cash requirements necessary to make payments on our debt; (v) it does not reflect our future requirements for capital expenditures or contractual commitments; (vi) it does not reflect limitations on or costs related to transferring earnings from our subsidiaries to us; and (vii) other companies in our industry may calculate this measure differently than we do, limiting its usefulness as a comparative measure. Because of these limitations, these non-GAAP financial measures should not be considered as a measure of discretionary cash available to us to invest in the growth of our business or as a measure of cash that will be available to us to meet our obligations, including those under our outstanding debt obligations. You should compensate for these limitations by relying primarily on our GAAP results and using these measures only as supplemental information.

MAY 1, 2020 BUSINESS UPDATE Q3 fiscal 2020 operating and financial results were consistent with expectations in spite of the initial impacts of the COVID-19 pandemic. Domestic trade actions, global strategy, lean manufacturing, and raw material stabilization were providing solid momentum for the business. We began to see the non-China impact of the COVID-19 pandemic in late March. We expect global demand decline will place pressure on our sales and profitability for the remainder of fiscal 2020 and into fiscal 2021. We have taken several mitigating steps to protect our people and communities, maintain liquidity, and preserve cash. We are working hard to keep our people safe. Fiscal 2020 outlook has been suspended due to uncertainty surrounding COVID-19 impacts.

PARKDALE TRANSACTION OVERVIEW Parkdale America, LLC is a producer of cotton and synthetic yarns for the textile and apparel industries. JV formed in 1997; Unifi obtained and maintained 34% interest. $60 million cash received on April 29, 2020 from divestiture of 34% investment via sale to majority partner, Parkdale, Incorporated: Transaction improves Net Debt by $60 million and significantly improves leverage. Proceeds were applied in part to reduce ABL Revolver, with remainder held as cash-on-hand. Amendment to Credit Facility to allow for investment sale and desired use of proceeds completed simultaneously with sale transaction. Cash proceeds provide additional flexibility and liquidity for both long-term opportunities and uncertainty associated with the current pandemic. $45.2 million impairment charge was a non-cash expense and is non-cash for tax purposes.

RISK MITIGATION INITIATIVES Ensuring the health and safety of our employees: Suspending travel and group meetings; Implementing social distancing measures; Enforcing healthy habits, sanitation and disinfection; and Increasing wellness monitoring. Participating in the supply chain for personal protective equipment necessary for our first responders, healthcare personnel, and military. Reducing capital expenditures while prioritizing safety and maintenance. Taking advantage of low raw material cost levels, which aids short-term working capital and liquidity. Strategically reducing manufacturing operations - further support critical businesses and manage working capital.

OPERATING INCOME OVERVIEW (dollars in millions) When comparing Operating income from Q3 FY19 to Q3 FY20: 1 Approximates the increase in gross profit. 2 Approximates the increase in selling, general and administrative expenses due to the benefit of significant equity and incentive compensation forfeitures resulting from executive officer departures in Q3 FY19. 3 Approximates the change in provision for bad debts. 4 Approximates the change in other operating (income) expense and foreign currency transaction activity. Note: This representation is not intended to depict amounts calculated under GAAP. 1 2 3 4

NET SALES OVERVIEW (dollars in thousands) Three-Month Comparison (Q3 FY19 vs. Q3 FY20) 1 Approximates the impact of foreign currency translation. Note: The “Prior Period” ended on March 31, 2019. The “Current Period” ended on March 29, 2020. The Prior Period and the Current Period each contained 13 fiscal weeks. The Polyester Segment includes operations in the U.S. and El Salvador. The Nylon Segment includes operations in the U.S. and Colombia. The Brazil Segment includes operations in Brazil. The Asia Segment includes operations in Asia. nm – Not meaningful * * * *

GROSS PROFIT OVERVIEW (dollars in thousands) Three-Month Comparison (Q3 FY19 vs. Q3 FY20) 1 Gross profit for the Polyester and Asia Segments reflect the Company’s update to segment profitability completed in the fourth quarter of fiscal 2019. Prior period amounts have been revised accordingly. Note: The “Prior Period” ended on March 31, 2019. The “Current Period” ended on March 29, 2020. The Prior Period and the Current Period each had 13 fiscal weeks. The Polyester Segment includes operations in the U.S. and El Salvador. The Nylon Segment includes operations in the U.S. and Colombia. The Brazil Segment includes operations in Brazil. The Asia Segment includes operations in Asia. nm – Not meaningful * * * *

LIQUIDITY UPDATE (dollars in thousands) Net Debt 1 Represents a non-GAAP financial measure. Borrowing Availability and Covenants On March 29, 2020: borrowing availability on the ABL Revolver was $48,000; the Trigger Level was $24,000; and the Fixed Charge Coverage Ratio was 0.94 to 1.00. ABL Facility maturity is not until December 2023.

APPENDIX

NET SALES OVERVIEW (dollars in thousands) Nine-Month Comparison (YTD FY19 vs. YTD FY20) 1 Approximates the impact of foreign currency translation. Note: The “Prior Period” ended on March 31, 2019. The “Current Period” ended on March 29, 2020. The Prior Period had 40 fiscal weeks and the Current Period had 39 fiscal weeks. The Polyester Segment includes operations in the U.S. and El Salvador. The Nylon Segment includes operations in the U.S. and Colombia. The Brazil Segment includes operations in Brazil. The Asia Segment includes operations in Asia. nm – Not meaningful * * * *

GROSS PROFIT OVERVIEW (dollars in thousands) Nine-Month Comparison (YTD FY19 vs. YTD FY20) 1 Gross profit for the Polyester and Asia Segments reflect the Company’s update to segment profitability completed in the fourth quarter of fiscal 2019. Prior period amounts have been revised accordingly. Note: The “Prior Period” ended on March 31, 2019. The “Current Period” ended on March 29, 2020. The Prior Period had 40 fiscal weeks and the Current Period had 39 fiscal weeks. The Polyester Segment includes operations in the U.S. and El Salvador. The Nylon Segment includes operations in the U.S. and Colombia. The Brazil Segment includes operations in Brazil. The Asia Segment includes operations in Asia. nm – Not meaningful * * * *

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