CERTIFICATION PURSUANT TO RULE 30A-2(A) UNDER THE 1940 ACT AND SECTION 906
                            OF THE SARBANES-OXLEY ACT

I, James A. Bowen,  Chief  Executive  Officer of First Trust/Four Corners Senior
Floating Rate Income Fund (the "Registrant"), certify that:

         1.     The Form N-CSR of the Registrant  (the "Report")  fully complies
                with  the   requirements  of  Section  13(a)  or  15(d)  of  the
                Securities Exchange Act of 1934, as amended; and

         2.     The information  contained in the Report fairly presents, in all
                material  respects,  the  financial  condition  and  results  of
                operations of the Registrant.

Date:  JANUARY 27, 2005                  /S/ JAMES A. BOWEN
     -------------------------------     ---------------------------------------
                                         James A. Bowen, Chief Executive Officer
                                         (principal executive officer)


I, Mark R. Bradley,  Chief  Financial Officer of First Trust/Four Corners Senior
Floating Rate Income Fund (the "Registrant"), certify that:

         1.     The Form N-CSR of the Registrant  (the "Report")  fully complies
                with  the   requirements  of  Section  13(a)  or  15(d)  of  the
                Securities Exchange Act of 1934, as amended; and

         2.     The information  contained in the Report fairly presents, in all
                material  respects,  the  financial  condition  and  results  of
                operations of the Registrant.

Date:  JANUARY 27, 2005                 /S/ MARK R. BRADLEY
     -------------------------------    ----------------------------------------
                                        Mark R. Bradley, Chief Financial Officer
                                        (principal financial officer)