It seems likely the 23-year-old will depart Whaddon Road before his return to full fitness and MK Dons are rumoured to be at the front of the queue, with Brentford and Colchester also interested.
Despite rejecting a new deal a few weeks ago, Vincent remains a Cheltenham player for the time being, but Allen told the club's official website: "We've had enquiries from several clubs. He's been told about the interest in him.
"We'll see how that evolves but it looks like he'll be leaving. He has got real pace and a scoring record of one in three this season.
"I wanted to keep him and tried to persuade him to stay but he turned down the new deal we offered him and he has the chance to earn more money by joining another club."