Dann, 23, has excelled in the Premier League since arriving from Coventry City last summer. His partnership with Roger Johnson has hauled the Midlanders up the table and saw them shut out superstar striker Fernando Torres last Sunday.
Interest is growing in the ex-England under-21 international, with an £8 million bid believed to be enough to secure his signature.
Dann could be tempted with a move back to his native Liverpool, though United manager Sir Alex Ferguson is hopeful the defender will consider himself a successor to injury prone veteran Rio Ferdinand.