The League Two club rejected two bids for Adomah over the summer but agent Tony Finnigan insists the 21-year-old is not unsettled at Underhill.
Finnigan told the Barnet times: "If he had the chance to go then of course he would want to take it. He's an ambitious lad and it would be a chance to play in the Championship against better players and against the likes of Middlesbrough, Newcastle and Crystal Palace.
"It's a big step up from playing at places like Lincoln and Rochdale.
"Albert won't be making a transfer request because he's not that type of person.
"He's a sensible lad and a decent person and he doesn't want to cause any trouble because he is the perfect professional footballer. At no point has Albert spoken to Blackpool."