<page>                                           EXHIBIT 32.01



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 Annual Report of Dean Witter Diversified
Futures Fund II L.P. (the ?Partnership?) on Form 10-K for the period
ended December 31, 2005 as filed with Securities and Exchange
Commission on the date hereof (the ?Report?), I, Jeffrey A. Rothman,
President, Demeter Management Corporation, the general partner of the
Partnership, certify, pursuant to 18 U.S.C. Section 1350, as adopted
pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to
the best of my knowledge:

	(1)  The Report 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 Report fairly presents, in
       all material respects, the financial condition and results
      of operations of the Partnership.




By: /s/ Jeffrey A. Rothman

Name: 	 Jeffrey A. Rothman
Title:	 President

Date:	 March 31, 2006