Daniel Cousin's agent claims his client has been the subject of an approach from Burnley.
The Clarets are said to have asked Hull City about the possibility of taking the Gabon international on loan.
The former Rangers ace was a regular for the Tigers last term as they successful negotiated their debut season in the Premier League.
However, he has fallen out of favour this term after upsetting boss Phil Brown.
Cousin refused to shake Brown's hand after being hauled off in Hull's 5-1 defeat to Tottenham and has not featured in the club's three games since.
It is therefore likely that he would be open to the possibility of continuing his career at Turf Moor.
"I think they have put an offer in for a loan," Cousin's agent Willie McKay told the Lancashire Telegraph.