UNITED INVESTORS LIFE VARIABLE ACCOUNT
497J, 1999-05-13
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<PAGE>
 
                                  May 12, 1999



VIA EDGAR TRANSMISSION
- ----------------------

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

     Re:  United Investors Life Variable Account (File No. 33-11465)
          Rule 497(j) Certification

Commissioners:

     On behalf of United Investors Life Variable Account (the "Account") and in
lieu of filing with the Commission the form of prospectus dated May 1, 1999 that
was used in connection with the offering by United Investors Life Insurance
Company (the "Company") of certain flexible premium variable life insurance
policies funded through the Account, the Company hereby certifies that:

     (1)  the form of prospectus that would have been filed pursuant to Rule
          497(b) under the Securities Act of 1933 (the "1933 Act") would not
          have differed from that contained in Post-Effective Amendment No. 14
          to the Account's registration statement under the 1933 Act ("PEA 14")
          on Form S-6, as filed with the Commission on April 28, 1999; and

     (2)  The text of PEA 14 has been filed with the Commission electronically.

     Please call Cathy C. Pilcher at (205) 325-4307 if you have questions or
comments regarding this filing.


                                 UNITED INVESTORS LIFE INSURANCE COMPANY



                                 By: /s/ John H. Livingston

                                     John H. Livingston, Esquire
                                     Secretary and Counsel



cc: Frederick R. Bellamy


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