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 Quarterly Report of Dean Witter Diversified
Futures Fund II L.P. (the "Partnership") on Form 10-Q for the
period ended September 30, 2004 as filed with the 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 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:		November 15, 2004