Exhibit 4.44

EXECUTION VERSION

SECOND AMENDMENT TO THE RESTRUCTURING SUPPORT AGREEMENT

THIS AMENDMENT (this "Amendment"), dated as of April 21, 2017, to the Restructuring Support Agreement, dated as of March 23, 2017 among Ocean Rig UDW Inc. ("Parent"), Drillships Financing Holding Inc., Drillships Ocean Ventures Inc., Drill Rigs Holdings Inc. and the Supporting Creditors (the "RSA") is made among Parent and the Supporting Creditors listed on the signature pages hereto, which constitute the Maj only Supporting Lenders. Capitalized terms used but not defined herein have the meanings set forth in the RSA.

RECITALS

WHEREAS, pursuant to Clause 12.2 of the RSA, holders of DRH Scheme Claims are entitled to a pro rata portion of the DRH Early Consent Fee if they accede to the RSA by the DRH Early Consent Date; and

WHEREAS, Parent and the Majority Supporting Lenders desire to amend the RSA pursuant to this amendment in order to extend the period for holders of DRH Scheme Claims to accede to the RSA and receive a pro rata portion of the DRH Early Consent Fee.

NOW, THEREFORE, the parties hereto agree as follows:

AMENDMENT

As of the date hereof, the parties hereto hereby amend Schedule 1(Definitions) of the RSA to replace the definition of "DRH Early Consent Date" with the following definition:

"DRH Early Consent Date" means April 25, 2017.

2.	CONDITIONS TO EFFECTIVENESS

This Amendment shall become effective upon such time as it has been duly executed by the parties hereto on the date hereof.

3.	REPRESENTATIONS AND WARRANTIES

3.1	The Supporting Creditors party hereto represent and warrant that they constitute the Majority Supporting Lenders as of the date hereof.

3.2	Each party hereto hereby represents and warrants to each of the other parties hereto that the representations and warranties set forth in Clause 4 of the RSA are true and correct in all material respects on and as of the date hereof with the same effect as though made on and as of the date hereof.

4.	REFERENCE TO AND EFFECT ON THE RSA

4.1	This Amendment shall constitute a Restructuring Document for purposes of the RSA. Except as specifically amended by this Amendment, the RSA shall remain unchanged and unwaived and shall remain in full force and effect and are hereby ratified and

confirmed. The amendment set forth herein shall be limited precisely as provided for herein to the provisions expressly amended herein and shall not be deemed to be an amendment or waiver of any right, power or remedy of any party hereto under, or an amendment or waiver of, consent to or modification of any other term or provision of the RSA or of any transaction or future action on the part of the parties hereto which would require the consent of any other party hereto under the RSA.

HEADINGS

Section and subsection headings in this Amendment are included herein for convenience of reference only and shall not constitute a part of this Amendment for any other purpose or be given any substantive effect.

6.	APPLICABLE LAW

This Amendment shall be governed by, and construed in accordance with, the laws of the State of New York, without regard to any choice of law provisions which would require the application of the law of any other jurisdiction.

7.	COUNTERPARTS

7.1

This Agreement may be executed in any number of counterparts and:

(a)

each such counterpart shall be deemed to be an original;

(b)

all such counterparts shall constitute one and the same document; and

(c)

each Person executing a counterpart shall become a party hereto.

7.2

Transmission by fax or emailed scanned copy of an executed counterpart of this Waiver shall be deemed to constitute due and sufficient delivery of such counterpart.

Ocean Rig UDW Inc. as Parent

By:	/s/ Anthony Kandylidis
	Name:
	Title:

(Signature Page to Waiver)

Elliott Associates, LP

By:	Elliott Capital Advisors, L.P., General Partner
By:	Braxton Associates, Inc., General Partner


By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Springfield Associates, LLC

By:	Elliott Associates, L.P., as managing member
By:	Elliott Capital Advisors, L.P., as general partner
By:	Braxton Associates, Inc., as general partner


By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Elliott International, LP

By:	Elliott International Capital Advisors, Inc., as Attorney-in-Fact


By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Kensington International Limited

By:	Elliott International Capital Advisors, Inc., as Attorney-in-Fact


By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Queensferry M LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry A LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry C LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry E LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry H LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Upton A LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Upton C LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry Y LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Upton E LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Athena Investments Holdings LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Upton I LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry B LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Upton B LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Upton D LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry N LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Queensferry O LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry P LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry Q LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry S LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry U LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Queensferry W LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry X LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Lovington Onshore LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Jesmond Holdings LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Bristol Partners LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Queensferry F LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry G LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry I LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry J LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry L LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

GIM Holdings LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Clementine Ltd.



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Benjamin Capital Ltd.



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Columbia Point Limited



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Winter Valley Offshore LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

Queensferry D LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Upton F LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry R LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry V LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President


Queensferry Z LLC



By:	/s/ Elliot Greenberg
	Name: Elliot Greenberg
	Title: Vice President

BLUEMOUNTAIN GUADALUPE PEAK FUND L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN MONTENVERS MASTER FUND SCA SICAV-SIF

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN TIMBERLINE LTD.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN KICKING HORSE FUND L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel

BLUEMOUNTAIN LOGAN OPPORTUNITIES MASTER FUND L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN SUMMIT TRADING L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN FOINAVEN MASTER FUND L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel


BLUEMOUNTAIN CREDIT ALTERNATIVES MASTER FUND L.P.

By: BlueMountain Capital Management, LLC, its investment manager

By:	/s/ David M. O'Mara
	Name: David M. O'Mara
	Title: Deputy General Counsel

AVENUE COPPERS OPPORTUNITIES FUND, L.P.

By: Avenue COPPERS Opportunities Fund GenPar, LLC, its General Partner

By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE-ASRS EUROPE OPPORTUNITIES FUND, L.P.

By: Avenue-ARS Europe Opportunities Fund GenPar, LLC, its General Partner

By: GL ASRS Europe Partners, LLC, its Managing Member

By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE ENERGY OPPORTUNITIES FUND, L.P.

By: Avenue Energy Opportunities Partners, LLC, its General Partner

By: GL Energy Opportunities Partners, LLC, its Managing Member

By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE ENTRUST CUSTOMIZED PORTFOLIO SPC ON BEHALF AND FOR THE ACCOUNT OF AVENUE US/EUROPE DISTRESSED SEGREGATED PORTFOLIO


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member

AVENUE EUROPE OPPORTUNITIES MASTER FUND L.P.

By: Avenue Europe Opportunities Fund GenPar, LLC, its General Partner


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE EUROPE SPECIAL SITUATIONS FUND III (U.S.), L.P.

By: Avenue Europe Capital Partners III, LLC, its General Partner

By: GL Europe Partners III, LLC, its Managing Member


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE EUROPE SPECIAL SITUATIONS FUND III (EURO), L.P.

By: Avenue Europe Capital Partners III, LLC, its General Partner

By: GL Europe Partners III, LLC, its Managing Member


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE INVESTMENTS, L.P.

By: Avenue Partners, LLC its General Partner


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member

AVENUE PPF OPPORTUNITIES FUND, L.P.

By: Avenue PPF Opportunities Fund GenPar, LLC, its General Partner


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


AVENUE SPECIAL OPPORTUNITIES FUND II, L.P.

By: Avenue SO Capital Partners II, LLC, its General Partner

By: GL SO Partners II, LLC, its Managing Member


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member


MANAGED ACCOUNTS MASTER FUND SERVICES – MAP10 a Sub Trust of Managed Accounts Master Fund Services

By: Avenue Capital Management II, L.P. its Investment Manager

By: Avenue Capital Management II GenPar, LLC its General Partner


By:	/s/ Sonia Gardner
	Name: Sonia Gardner
	Title: Member

HATHOR CAPITAL LIMITED



By:	/s/ James Murphy
	Name: James Murphy
	Title: Attorney-in-Fact


RICIMER CAPITAL LIMITED



By:	/s/ James Murphy
	Name: James Murphy
	Title: Attorney-in-Fact


SILVER TEAL CAPITAL LIMITED



By:	/s/ James Murphy
	Name: James Murphy
	Title: Attorney-in-Fact


CASTLE APRON CAPITAL LIMITED



By:	/s/ James Murphy
	Name: James Murphy
	Title: Attorney-in-Fact


LION POINT MASTER L.P.

By: Lion Point Capital, LP, its investment manager



By:	/s/ James Murphy
	Name: James Murphy
	Title: COO/CFO