The Slovakian shot-stopper has slipped to third choice at the Amex Stadium, behind Tomasz Kuszczak and Casper Ankergren.
He has, however, been welcomed back into the Seagulls' first team fold of late after seeing both of his rivals pick up knocks.
All three keepers are due to be out of contract at the end of the season, so are all playing for their future.
Brezovan admits that his preference would be to nail down a regular role at Brighton and remain on the south coast, but also concedes that an offer from a Championship rival may be too good to turn down.
He told The Argus: "It's hard because Brighton is a beautiful place and I love the people around here. It's not easy to go.
"If there was an offer from the same level, I would probably try it. Going to a lower division, getting injured and then to be there on the bench is risky."
For now, Brezovan is looking to make the most of an unexpected opportunity, with the 34-year-old delighted to be back on senior duty.
He added: "That's football. Things can happen quickly and it's beautiful.
"It shows how everyone is important. When you don't play for a long time, even in training, you start to think it's hard to motivate yourself.
"That's why you need good lads around you. I love the guys here. They always help you to be motivated.
"When you play and your contract is running out, you need to find that motivation."