Contract

EXHIBIT 32.02 CERTIFICATION OF CHIEF FINANCIAL OFFICER 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 quarter ended September 30, 2006 as filed with the Securities and Exchange Commission on the date hereof (the ?Report?), I, Lee Horwitz, Chief Financial Officer of 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/Lee Horwitz Name: Lee Horwitz Title: Chief Financial Officer of Demeter Management Corporation, the general partner of the Partnership Date: November 14, 2006