Chamberlain has 12 months left on his current Arsenal contract and Liverpool are among the clubs keen to snap him up.
Despite impressing under Arsene Wenger last term, the England international is still yet to pen a contract extension.
The 23-year-old has been at the club since signing from Southampton as a teenager back in 2011.
But, despite being about to enter his seventh season as an Arsenal player, he has never quite nailed down a spot in Arsene Wenger’s starting line-up.
And The Mirror claim Liverpool have tabled an opening bid – which Arsenal have rejected.
Jurgen Klopp is keen to add more firepower to his squad despite signing Chelsea flop Mohamed Salah from Roma last week.
And, while the north London side have snubbed Liverpool‘s opening offer, Klopp remains confident he can get a deal done.
Talks between the player and Arsenal have come to a standstill and, as a result, a move away from the Emirates looks increasingly likely.
Relations between the two Premier League giants are strained and have been ever since Arsenal failed to sign Luis Suarez from Liverpool in 2013.
The Mirror add that Chelsea and Manchester City are also monitoring Chamberlain’s situation.
But, as it stands, Liverpool appear the likeliest to win the race for his signature.