SECOND AMENDMENT TO EMPLOYMENT AGREEMENT

Exhibit 10.4

SECOND AMENDMENT TO EMPLOYMENT AGREEMENT

This Second Amendment to Employment Agreement (this “Amendment”) is entered into as of January 3, 2011, by and among Amedisys, Inc., a Delaware corporation (the “Company”), Amedisys Holding, L.L.C., a Louisiana limited liability company (“Holding”), and Michael D. Snow, a person of the age of majority (“Executive”).

WHEREAS, the Company, Holding and Executive are parties to that certain Employment Agreement dated as of January 4, 2010, as amended by the First Amendment thereto dated January 22, 2010 (as amended, collectively, the “Original Agreement”); and

WHEREAS, the Company, Holding and Executive specifically desire to amend the Original Agreement as specifically set forth herein.

NOW, THEREFORE, in consideration of the premises, as well as other mutual promises and covenants contained in this Amendment, the parties hereto agree as follows:

Section 3. Term of Employment.

(a) The term of Executive’s employment under this Agreement (the “Term of Employment”) shall commence on the Effective Date and expire on December 31, 2013 or such later date as agreed upon by the Parties pursuant to Section 3(b), below, unless terminated prior thereto in accordance herewith. This Agreement shall not be automatically renewable and, unless mutually extended by the Parties by an agreement in writing, shall terminate upon the expiration of the Term of Employment; provided, however, that:

(i) simultaneously with the expiration of the Term of Employment and termination of this Agreement, Executive’s employment shall continue on an “at will” basis unless or until such “at will” employment is terminated by the Company or Executive by notice in writing;

(ii) during the term of such “at will” employment, (A) if there is a termination by Executive with Good Reason (as defined below) or (B) if there is a termination by the Company without Cause (as defined below), in either such case, whether such termination for Good Reason or without Cause occurs prior to or following a Change in Control (as defined below) [n.b., solely for purposes of determining whether there is a Good Reason termination under this clause (ii) of this Section 3(a) and for purposes of calculating the benefits to Executive of a termination by

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Executive for Good Reason or by the Company without Cause, the provisions of Sections 4, 5 and 6 shall be deemed to be in full force and effect during the “at will” employment period], Executive shall be entitled to and his sole remedies for such termination (subject to the immediately following clause (iii)) shall be as set forth in Section 8(c) (which Section 8(c) shall continue in full force and effect during the “at will” employment period), and not as set forth in Section 8(e); and

(iii) as provided in Section 24, (x) the provisions of Sections 1 and 2, this second sentence of this Section 3(a), Sections 8(g), (h), (i), (j) and (m), and Sections 9 through 30 of this Agreement shall survive the termination of this Agreement and remain in full force and effect in accordance with their terms, and (y) the termination of this Agreement shall not affect any rights or obligations of the Parties accrued under this Agreement prior to or in connection with such termination and, with respect to such surviving provisions and those that survive under Section 3(a), thereafter.

(ii) an amount equal to one and one-half (1.5) times the sum of (A) the Base Salary, at the annualized rate in effect on the date of termination of Executive’s employment (or in the event a reduction in Base Salary is a basis for a termination with Good Reason, then the Base Salary in effect immediately prior to such reduction), and (B) the greater of (x) an amount equal to the cash bonus earned for the previous fiscal year or (y) $412,500 (Four Hundred Twelve Thousand, Five Hundred Dollars), which amount shall be payable in substantially equal monthly installments in accordance with the Company’s payroll practices for a period of 18 months beginning with the calendar month that immediately follows the Earliest Payment Date (the “Severance Period”) unless otherwise required to be paid in accordance with Section 8(j);

(ii) an amount equal to two (2) times the sum of (A) the Base Salary, at the annualized rate in effect on the date of termination of Executive’s employment (or in the event a reduction in Base Salary is a basis for a termination with Good Reason, then the Base Salary in effect immediately prior to such reduction), and (B) the greater of (x) an amount

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equal to the cash bonus earned for the previous fiscal year or (y) $412,500 (Four Hundred Twelve Thousand, Five Hundred Dollars), which amount shall be payable in lump sum on the Earliest Payment Date, unless otherwise required to be paid in accordance with Section 8(j);

IN WITNESS WHEREOF, the parties have signed and executed this Amendment as of the day and year first written hereinabove.

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