The 19-year-old has two first team goals for the Red Devils this season but has been used mainly as a substitute.
The report claims the Rams were hopeful of securing a deal last week, only for the forward to pick up a minor injury in an under-21 game.
It adds: "His problem is being assessed and Wilson may be allowed to move before this week’s loan window shuts — with the Rams and others keen to take him."
It's perfectly logical Derby will have competition for a striker so highly regarded as Wilson, who scored two goals on his United first team debut against Hull City last season.
With the battle for promotion from the Championship tightly contested, a player like Wilson could be a real difference maker to any side fortunate enough to land him.
At Derby, Wilson would join up with United teammate Jesse Lingard who signed on loan earlier in 2015.
Steve McClaren's side are currently in fifth place, six points off leaders Watford.
Rival clubs in need of a striker could include Nottingham Forest, with BBC Radio Nottingham confirming last week the club are interested in a forward.