Clarke has lost his spot in the Sheffield United starting line-up this season, with David McGoldrick forming an impressive strike partnership with Billy Sharp this term.
Clarke, who was last season's top scorer, has started just nine Championship games so far this season with another 15 appearances off the bench.
The 33-year-old has scored three goals and provided three assists in the Championship this season, but he has been unable to establish himself in Chris Wilder's starting XI due to the form of McGoldrick and Sharp.
The recent arrival of Gary Madine from Cardiff City has also increased competition for places in attack at Bramall Lane and a number of clubs are monitoring Clarke's situation closely.
Hull, Bristol City, Millwall and Wigan are all looking to bolster their attacking options before the transfer window slams shut next week and Clarke figures on their wanted lists as he is a proven goal-scorer in the Championship.
It remains to be seen if Sheffield United would consider letting Clarke leave as they battle to maintain their push for promotion this season, but they are bracing themselves for offers for Clarke before next week's transfer deadline.
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