Bridcutt is regarded as one of the best players outside the Premier League and he impressed again last season as Brighton reached the play-off semi-finals.
The 24-year-old has established himself as a key member of the Seagulls side since arriving at the club in 2010 and he has recently broken into the Scotland squad.
Brighton are bracing themselves for bids for the influential midfielder after missing out on promotion.
Premier League new boys Cardiff City and Hull City as well as Championship duo Queens Park Rangers and Reading are all thought to be keeping tabs on Bridcutt's situation at the Amex Stadium.
Bridcutt still has two years to run on his contract and Brighton would be loathe to lose their star midfielder this summer.