<page>                                     EXHIBIT 32.02



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, 2004 as filed with Securities and Exchange
Commission on the date hereof (the ?Report?), I, Kevin Perry, Chief
Financial Officer, 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/ Kevin Perry

Name: 	 Kevin Perry
Title:	 Chief Financial Officer

Date:	 March 31, 2005