INVESCO MONEY MARKET FUNDS INC
497J, 1998-10-05
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INVESCO FUNDS                                        INVESCO FUNDS GROUP, INC.
                                                     7800 East Union Avenue
                                                     Denver, Colorado 80237
                                                     Post Office Box 173706
                                                     Denver, Colorado 80217-3706
                                                     Telephone:  303-930-6300



October 5, 1998



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

RE:   INVESCO Money Market Funds, Inc.
      1933 Act No. 002-55079
      1940 Act No. 811-2606
      CIK No. 35685

Ladies and Gentlemen:

Pursuant  to  Rule  497(j)  of the  Securities  Act of  1933  (the  "1933  Act")
(submission  type 497),  INVESCO Money Market Funds,  Inc. (the "Fund"),  hereby
submits  for  filing on EDGAR this  certification  that the  definitive  form of
Prospectus and Statement of Additional  Information for filing under Rule 497(c)
does not differ from that  contained in the  Post-Effective  Amendment No. 34 to
the  Registration  Statement  which was  electronically  filed  pursuant to Rule
485(b) on September 28, 1998. This  Post-Effective  Amendment  became  effective
October 1, 1998.

If you have any  questions  or  comments,  please  contact  the  undersigned  at
303/930-6526.

Sincerely,

/s/ James F. Lummanick
- ----------------------
James F. Lummanick
   Vice President and
   Assistant General Counsel

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