The former England man's wages may prove to be the stumbling block to a potential deal.
The 34-year-old has found chances very difficult to come by this season, with Mark Hughes signing several exciting attacking options with European pedigree in recent times.
The likes of Bojan and Joselu have seen Crouch's opportunities at the Britannia restricted to just six appearances in all competitions this term, with the former England man scoring just once, against Fulham in the Capital One Cup.
The Yorkshire Evening Post claims however, that a January move for the veteran forward is unlikely due to Crouch's wages, and thus, may well see Evans focus his attention entirely on attempting to bring Norwich's Kyle Lafferty to the club instead.
While Crouch has found himself on the periphery for the Potters this campaign, there is little question that he would provide Steve Evans with an excellent option as he looks to propel United into the play-off mix.
The former Liverpool striker's hold up play could have been very useful during the latter stages of Leeds' most recent clash against Derby County, shortly after Chris Wood had given the Whites the lead with 20 minutes to go. His ability to win the ball in the air, as well as his strength with the ball at his feet would have relieved some of the pressure that the Rams began to apply that led to Tom Ince's equaliser.