DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND INC
497J, 1998-02-09
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                                             February 9, 1998


Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC 20549

Re:  Dreyfus Connecticut Municipal Money Market Fund, Inc.
     File Nos. 33-34845, 811-6014

Dear Sir/Madam:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the form of Prospectus and Statement of Additional Information
that would have been filed under paragraph (b) or (c) of this section does
not differ from that contained in the most recent amendment to the Fund's
Registration Statement, electronically filed with the Securities and
Exchange Commission on January 29, 1998.


                                             Very truly yours,


                                             Christine Brennan


CB\

cc:  Ernst & Young LLP
     Stroock & Stroock & Lavan LLP



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