He said: "A number of clubs are looking at Matt. There appears to be some interest there and when you take everything into consideration we would probably let him go."
Bloomer came to City a year ago in search of first team football after Grimsby Town let him go. However, he has started just once for City - in the Worthington Cup at Derby - and made three appearances from the bench in the league.
He then went to Lincoln on loan at the end of the season, playing five times. The Imps are thought to be one of the teams looking at him, along with Boston United.
His contract expires in a year's time, and his chances are expected to be limited again this year with Jan Molby looking for a new centre back.
Meanwhile Molby reports that Bloomer isn't the only player the club have received approaches for.
He said: "It's true to say we have had enquiries from other clubs about the availability of four or five of our players.
"It would be unfair to tell you any names because the players themselves aren't aware of any interest. However, I said at a recent fans' forum that I would find it difficult to turn down decent offers for our players.
"The other clubs know exactly what the position is. They are aware our players are under contract but if they comeback to us and show they are serious then we would be prepared to sit down and talk."