The pool of buyers for the refinery and its gasoline stations is small, Reuters said, citing sources.
Reuters said the remote location and advanced competition from the Gulf Coast refineries detract from the refinery's desirability.
New York-based SilverPeak Financial Partners bought the 115,000-barrel-per-day refinery in Come-by-Chance from Korea National Oil Corp. in November 2014, Reuters noted, adding the buyers then had to contend with the over-supplied global oil situation.