Despite selling Javier Hernandez to Bayer Leverkusen and allowing Adnan Januzaj to join Borussia Dortmund on loan, United look likely to allow Wilson – one of only four recognised forwards at Old Trafford – to leave on loan.
The £36million purchase of teenager Anthony Martial from Monaco appears to be a factor in the decision.
It has been reported that more than 20 clubs have enquired about the 19-year-old, who has yet to feature this season for Louis van Gaal’s team, and Clement has revealed the Rams are one of those.
“It is a possibility but not a certainty,” said Clement.
“We have shown an interest. He is a very talented player and a number of other clubs have shown an interest as well.
“We are waiting to hear back from Manchester United.”
Former Chelsea, PSG and Real Madrid coach Clement became the second Sky Bet Championship boss on Thursday to publicly confirm his interest in Wilson, after Bolton’s Neil Lennon did likewise.
MK Dons and Wolves are also understood to be among the whole host of clubs monitoring the situation.
Wilson has been frustrated by a lack of opportunities in the past year despite making a breakthrough under caretaker Ryan Giggs towards the end of the 2013-14 season. A series of niggling injuries have also stunted his progress.
He has played just 17 minutes of first-team football since February and United recognise he needs more competitive games to develop.
Wilson came off the bench to score the winning goal for the England Under-21 team against USA U23s in their 1-0 friendly victory at Deepdale on Thursday.