The 32 year-old former Blackburn winger has made 3 full appearances this season for The Whites but has not featured recently in Peter Reid's plans after playing in 33 matches last season.
If an offer comes in the January transfer window he will be allowed to leave on a free transfer and United could offload his £14k-a-week wages into the bargain.
Wilcox joined Leeds United in a shock £3m switch from Blackburn Rovers in December 1999, yet another example of Leeds' transfer extravagances under Peter Ridsdale.
"Jason is not in the manager's plans," said a club spokesman. "He will have to look elsewhere for regular football."