The 30-year-old goalkeeper, who joined the Seagulls from Manchester United last summer, will have 12 months remaining on his contract at the end of this season.
Kuszczak, who has kept 11 clean sheets in the Championship this campaign, has hinted that he would like to prolong his stay on the South Coast.
"I feel good here," the Argus quotes him as saying. "If the club decide to give me an opportunity to stay longer and play for Brighton, of course I'm going to be really happy and we are going to discuss that.
"I haven't had any calls yet. That's why it's difficult to talk about!"
Kuszczak has made 34 appearances in all competitions for Brighton this season.