SMITH BARNEY DIVERSIFIED FUTURES FUND L P II
497, 1997-01-23
SECURITY & COMMODITY BROKERS, DEALERS, EXCHANGES & SERVICES
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                      Smith Barney Futures Management Inc.
                              390 Greenwich Street
                               New York, NY 10013

By EDGAR

Securities and Exchange Commission
450 Fifth Street N.W.
Washington, D.C. 20549

RE:  Smith Barney Diversified Futures Fund L.P. II
     Supplement to Registration Statement on Form S-1
     File No. 333-3538

Ladies and Gentlemen:

On Behalf of Smith Barney Diversified Futures Fund L.P. II (the "Partnership") I
am  transmitting  herewith  for  filing,  pursuant  to  Rule  424 (b) (3) of the
Securities Act of 1933, as amended,  a Supplement dated December 31, 1996 to the
Partnership's final prospectus dated May 31, 1996.

Should you have any questions, please telephone me at 723-5424.

Very truly yours,

/s/ Daniel A. Dantuono
    Daniel A. Dantuono
    Chief Financial Officer and
    Director

Enclosures
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<PAGE>




                                  Smith Barney
                        Diversified Futures Fund L.P. II
                                  December 1996


The net asset value of the Smith  Barney  Diversified  Futures  Fund L.P. II was
$1,125.06 at the end of 1996, down 0.8% for December but up 12.5% for the year.

In December,  many of the markets that had been  primarily  responsible  for the
profitable  run of the last part of the year  turned  volatile,  resulting  in a
slight  profit  giveback  for the month.  Earlier  in the month,  several of the
Fund's  advisors  scaled back their  exposure to these markets so that increased
volatility  was  reduced as a threat to the  profitable  progress  the Fund made
during the year.

The  profitable  trends  affecting  global  interest  rate and long U.S.  dollar
positions were shaken by Alan  Greenspan's  comments  regarding the  "irrational
exuberance" in the U.S. stock market and remained jittery  throughout the month.
This  effectively  marked the onset of a  consolidation  phase of recent trends.
Such  conditions  are to be  expected  after  the  20.6%  increase  the Fund has
experienced since the end of August. Overall, trading in the financial, currency
and stock index futures markets was slightly unprofitable for the month.

Offsetting the losses attributable to the financial markets were profits in many
commodity sectors.  The continued surge in crude oil prices and rising prices in
related  energy  products were the primary  contributors  to profits.  Declining
prices for  agricultural  products and precious metals also produced profits for
the advisors' short positions.

We are pleased with the Fund's first year  performance in the face of a historic
bull  stock  market  and low  interest  rate  environment.  We  appreciate  your
continued  investment  in the Fund and look  forward  to  serving  your  managed
futures  investment  needs  in  1997.  For  more  information  on  this  Fund or
information  about other Smith Barney managed futures  programs,  please contact
your Smith Barney Financial Consultant.

Smith Barney Futures Management Inc.
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<PAGE>

                                  Smith Barney
                        Diversified Futures Fund L.P. II
                                Account Statement
                           For the Period December 1,
                            Through December 31, 1996


                                                                  Percent
                                                                 of Average
                                                                 Net Assets
                                                                ------------

Realized gains from trading                 $      5,700,566           10.89 %
Change in unrealized gains/losses
   from trading                                  (6,012,717)          (11.49)
                                              --------------    ------------

                                                   (312,151)           (0.60)

Add, Brokerage commissions
   and clearing fees ($10,437)                       333,450            0.64
                                              --------------    ------------


Net realized and unrealized losses                 (645,601)           (1.24)
Interest Income                                      178,663            0.34
                                              --------------    ------------

                                                   (466,938)           (0.90)
                                              --------------    ------------

Less, Expenses:
   Management fees                                  133,127             0.25
   Incentive fees                                  (158,305)           (0.31)
   Other expenses                                     5,164             0.01
                                              --------------    ------------

                                                    (20,014)           (0.05)
                                              --------------    ------------

Net Loss                                           (446,924)           (0.85)%
                                                                ============

Additions (5,670.4258 L.P. units at
November 30, 1996 net asset value
per unit of $1,134.13)                            6,431,000

Additions (53.7857 G.P. units at
November 30, 1996 net asset value
per unit of $1,134.13)                               61,000

Redemptions (129.0847 units at
December 31, 1996 net asset value
per unit of $1,125.06)                             (145,229)
                                              --------------

Increase in net assets                             5,899,847

Net Assets, November 30, 1996                     49,398,155

                                              ==============
Net Assets, December 31, 1996                 $   55,298,002
                                              ==============


Net asset value per unit                      $     1,125.06
   ($55,298,002/49,151.0725 units)            ==============

To the best of the  knowledge  and belief of the  undersigned,  the  information
contained herein is accurate and complete.

By: /s/ Daniel A. Dantuono
        Daniel A. Dantuono
        Chief Financial Officer

Smith Barney
Futures Management Inc.
General Partner, Smith Barney
Diversified Futures Fund L.P. II

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