NUVEEN INVESTMENT TRUST
497J, 1998-06-03
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<PAGE>
 
                [Vedder, Price, Kaufman & Kammholz Letterhead]

                                                                    June 3, 1998

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

        Re:  Nuveen Investment Trust ("Registrant")
             File Nos. 333-03715 and 811-07619
             --------------------------------------   

To The Commission:

        Pursuant to Rule 497(j) of Regulation C under the Securities Act of 
1933, in lieu of filing under paragraph (b) or (c) of Rule 497, on behalf of the
Registrant we hereby certify: (1) the form of prospectus dated June 1, 1998 and 
Statement of Additional Information dated June 1, 1998 for the Registrant that 
would have been filed under paragraph (b) or (c) of Rule 497 does not differ 
from that contained in the most recent post-effective amendment to the 
Registrant's registration statement, and (2) the text of the most recent 
post-effective amendment to the Registrant's registration statement has been 
filed electronically.

                                                Very truly yours,

                                                /s/ Christine A. Scheel
                                                -----------------------
                                                    Christine A. Scheel

CAS:sp

cc:  Alan G. Berkshire
     Gifford R. Zimmerman
     Cathy G. O'Kelly


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