That is according to BBC Sport reporter David Ornstein, who is a regular source of Arsenal transfer gossip.
He tweeted: “Oxlade-Chamberlain to sign 6yr deal with #LFC & becomes Arsenal’s all-time record departure fee.
“Unlikely that #AFC will sign a replacement.”
Arsenal finally agreed to let Oxlade-Chamberlain leave despite months of claims from manager Arsene Wenger that he would not be sold.
The 24-year-old rejected a move to Chelsea on Tuesday after a fee had been agreed in a bid to ensure a transfer to Liverpool.

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Personal terms will now be discussed and Oxlade-Chamberlain will undergo a medical tonight at St George’s Park – where he is currently training with England ahead of their World Cup qualification double-header.
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