Jurgen Klopp has been dubbed as an avid admirer of Oxlade-Chamberlain over recent months with the midfielder having emerged as a key target for the Reds.
The 23-year-old was told that he could expect a quick conclusion regarding his new deal with Arsenal eager to secure their attacker's future.
However, it appears Arsenal have not tried quickly enough to sort out his situation.
Oxlade-Chamberlain, who has been linked with a move away from Emirates Stadium, is believed to favour a central role, a preference endorsed by his fellow England global.
However, almost a month after the end of the season, formal talks are yet to commence.
But well into June and Oxlade-Chamberlain is still waiting for news on his contract.
The same report states that the situation has prompted uncertainty about the midfielder's future at The Emirates, with Liverpool, Chelsea and Manchester City among the clubs keeping tabs on his situation.
Do you think that Wenger and Arsenal are at risk of losing our player with this contract delay or do you think they may just be getting some other transfer business wrapped up first?
Oxlade-Chamberlain joined Arsenal in 2011 and has gone out to turn out 194 times for the club, including 129 appearances in the Premier League.
Meanwhile, Jack Wilshere, Kieran Gibbs and Wojciech Szczesny only have a year left in north London too.