Oxford Industries (OXM) 10-Q 2012 Q3 Quarterly report

Exhibit 32

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of Oxford Industries, Inc. (the “Company”) on Form 10-Q (“Form 10-Q”) for the quarter ended October 27, 2012 as filed with the Securities and Exchange Commission on the date hereof, I, J. Hicks Lanier, Chairman and Chief Executive Officer of the Company, and I, K. Scott Grassmyer, Senior Vice President — Finance, Chief Financial Officer and Controller of the Company, each certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge:

(1)The Form 10-Q fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2)The information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ J. Hicks Lanier

J. Hicks Lanier

Chairman and Chief Executive Officer

December 5, 2012

/s/ K. Scott Grassmyer

K. Scott Grassmyer

Senior Vice President - Finance, Chief Financial Officer and Controller

December 5, 2012