The 29-year-old has contributed 18 goals and 15 assists in 143 appearances for the Reds.
Oxlade-Chamberlain has enjoyed a recent run of games, the Merseyside outfit have decided against extending his current deal, which runs until June 2023.
The recent arrival of Cody Gakpo could affect Oxlade-Chamberlain’s playing time, and the Englishman will fall further down the pecking order.
As a result, He will leave Anfield when his contract expires in the summer, although there has been rumours that the midfielder could depart in January.
According to The Daily Mail, Brighton & Hove Albion have reportedly made an approach to sign Oxlade-Chamberlain, as they look to strengthen their squad after Leandro Trossard left the Seagulls for Arsenal.
Brighton could face fierce competition for Oxlade-Chamberlain’s signature, with several Premier League clubs keeping tabs on the situation.