NUVEEN TAX FREE UNIT TRUST SERIES 963
497J, 1997-09-19
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                                                             September 19, 1997


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

RE:  Nuveen Tax-Free Unit Trust, Series 963
     File No. 333-34613

Dear Sir or Madam:

In accordance with the provisions of Rule 497(j) of Regulation C under the 
Securities Act of 1933 (the "Securities Act"), this letter serves to certify 
that the most recent amendment to the Registration Statement on Form S-6 (the 
"Registration Statement") of the above-referenced Series does not differ from 
that which would have been filed pursuant to Rule 487(b) of the Securities 
Act.  Amendment No. 1, which was the most recent amendment to the 
Registration Statement, was filed electronically with the Commission on 
September 19, 1997.

Very truly yours,

JOHN NUVEEN & CO., INCORPORATED

Gifford R. Zimmerman
Vice President




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