Leeds are thought to be keeping a watching brief on the 25-year-old's situation with Whites boss Simon Grayson a long-term admirer of the striker.
Oldham could also make a move for Carlton as they in the hunt for striking reinforcements, while Exeter and Shrewsbury are keeping an eye on his situation.
Carlton signed a proffesional contract with Morecambe after coming up through their youth academy.
He made 199 appearances (74 as sub), scoring 62 goals in all competitions for The Shrimps.
His most important goal to date came in the Conference National Play-off Final in 2007 when Morecambe beat Exeter City 2-1. Carlton scored 8 minutes from time to help send Morecambe to the Football League for their first time.