Reports have claimed that former Brighton boss Gus Poyet is planning a £2million bid in an attempt to take Bridcutt to Sunderland when the window reopens next week.
Crystal Palace saw an offer for the midfielder rejected before the close of the summer transfer window, while Norwich City and West Brom have also been linked with the former Chelsea youngster.
Andrews feels Bridcutt is capable of playing in the Premier League, but he wants the 24-year-old to stay at the Amex Stadium to aid Brighton's push for promotion to the top flight.
"It's one of those things that is not really in our hands," Andrews told The Argus. "I know it was kind of spoken about in August that he may or may not have left.
"Liam is obviously a fantastic player coming into the prime of his career. He is still only relatively a young lad but he has got bags of experience and if he does go it would be a massive blow and a big loss to the lads, because he is a popular player.
"Hopefully we can keep hold of him, hopefully we can keep hold of everybody because if we do I'd be very confident that we will be pushing.
"He is good enough to play in the Premier League without a shadow of a doubt. He's got the tenacity, the knowledge of playing in a certain way. He picks up very good positions and uses the ball very well.
"We've got a very competitive midfield, there's no doubt about that, but we want to keep him."