UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13G

Under the Securities Exchange Act of 1934

(Amendment No. 1)

AmSurg Corp.

(Name of Issuer)

Common Stock

(Title of Class of Securities)

03232P405

(CUSIP Number)

December 31, 2014

(Date of Event which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule is filed:

¨ Rule 13d-1(b)

x Rule 13d-1(c)

¨ Rule 13d-1(d)

* The remainder of this cover page shall be filled out for a reporting person’s initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of Section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman LLC
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): OO

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman Investors VI, L.P.
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): PN

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman Capital Partners VI, L.P.
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): PN

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman Capital Partners VI (Parallel), L.P.
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): PN

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman Capital Executives VI, L.P.
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): PN

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Hellman & Friedman Capital Associates VI, L.P.
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): PN

CUSIP No. 03232P405 13G

1.	Name of Reporting Persons: Sunbeam GP Holdings LLC
2.	Check the Appropriate Box if a Member of a Group (a)  ¨        (b)  ¨
3.	SEC Use Only
4.	Citizenship or Place of Organization: Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH		5.	Sole Voting Power: 0
		6.	Shared Voting Power: 0
		7.	Sole Dispositive Power: 0
		8.	Shared Dispositive Power: 0
9.	Aggregate Amount Beneficially Owned by Each Reporting Person: 0
10.	Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares (See Instructions) ¨
11.	Percent of Class Represented by Amount in Row (9): 0.0%
12.	Type of Reporting Person (See Instructions): OO

Item 1.

(a) Name of Issuer:

AmSurg Corp. (the “Issuer”)

(b) Address of Issuer’s Principal Executive Offices:

20 Burton Hills Boulevard

Nashville, Tennessee 37215

Item 2.

(a) Name of Person Filing:

Hellman & Friedman LLC (“H&F LLC”)

Hellman & Friedman Investors VI, L.P. (“Investors VI”)

Hellman & Friedman Capital Partners VI, L.P. (“HFCP VI”)

Hellman & Friedman Capital Partners VI (Parallel), L.P. (“HFCP VI Parallel”)

Hellman & Friedman Capital Executives VI, L.P. (“HFC Executives VI”)

Hellman & Friedman Capital Associates VI, L.P., (“HFC Associates VI”)

Sunbeam GP Holdings LLC (“Sunbeam GP”)

The foregoing persons are hereinafter sometimes collectively referred to as the “Reporting Persons.”

(b) Address of Principal Business Office, or, if None, Residence:

The principal business office for all persons filing:

c/o Hellman & Friedman LLC

One Maritime Plaza, 12th Floor

San Francisco, California 94111

(c) Citizenship:

See Item 4 of each cover page.

(d) Title of Class of Securities:

Common Stock (the “Shares”)

(e) CUSIP Number:

03232P405

Item 3.

Not Applicable.

Item 4. Ownership.

(a) Amount beneficially owned:

See Item 9 on the cover pages hereto.

(b) Percent of class:

See Item 11 on the cover pages hereto.

(c) Number of Shares as to which the Reporting Person has:

(i) Sole power to vote or to direct the vote:

See Item 5 on the cover pages hereto.

(ii) Shared power to vote or to direct the vote:

See Item 6 on the cover pages hereto.

(iii) Sole power to dispose or to direct the disposition of:

See Item 7 on the cover pages hereto.

(iv) Shared power to dispose or to direct the disposition of:

See Item 8 on the cover pages hereto.

Item 5. Ownership of Five Percent or Less of a Class.

If this statement is being filed to report the fact that as of the date hereof the reporting person has ceased to be the beneficial owner of more than 5 percent of the class of securities, check the following  x.

Item 6. Ownership of More than Five Percent on Behalf of Another Person.

Not Applicable.

Item 7. Identification and Classification of the Subsidiary Which Acquired the Security Being Reported on by the Parent Holding Company.

Not Applicable.

Item 8. Identification and Classification of Members of the Group.

Not Applicable.

Item 9. Notice of Dissolution of Group.

Not Applicable.

Item 10. Certification.

By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect, other than activities solely in connection with a nomination under § 240.14a-11.

SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

Dated: February 6, 2015

HELLMAN & FRIEDMAN CAPITAL PARTNERS VI, L.P.
By: Hellman & Friedman Investors VI, L.P., its general partner
By: Hellman & Friedman LLC, its general partner
By:	/s/ Arrie R. Park
Name:	Arrie R. Park
Title:	Managing Director
HELLMAN & FRIEDMAN CAPITAL PARTNERS VI (PARALLEL), L.P.
By: Hellman & Friedman Investors VI, L.P., its general partner
By: Hellman & Friedman LLC, its general partner
By:	/s/ Arrie R. Park
Name:	Arrie R. Park
Title:	Managing Director
HELLMAN & FRIEDMAN CAPITAL EXECUTIVES VI, L.P.
By: Hellman & Friedman Investors VI, L.P., its general partner
By: Hellman & Friedman LLC, its general partner
By:	/s/ Arrie R. Park
Name:	Arrie R. Park
Title:	Managing Director

HELLMAN & FRIEDMAN CAPITAL ASSOCIATES VI, L.P.
By: Hellman & Friedman Investors VI, L.P., its general partner
By: Hellman & Friedman LLC, its general partner
By:	/s/ Arrie R. Park
Name:	Arrie R. Park
Title:	Managing Director
SUNBEAM GP HOLDINGS LLC
By: Hellman & Friedman Capital Partners VI, L.P., its sole managing member
By: Hellman & Friedman Investors VI, L.P., its general partner
By: Hellman & Friedman LLC, its general partner
By:	/s/ Arrie R. Park
Name:	Arrie R. Park
Title:	Managing Director