Liverpool will not sign a goalkeeper before Friday's domestic transfer deadline.
Alisson is expected to be sidelined for another five weeks with a shoulder injury.
Fans were hoping Liverpool would sign another goalkeeper after Adrian's subpar performance in the 7-2 loss to Aston Villa.
But the Mirror says Jurgen Klopp is happy to keep the Spaniard as his starting shot-stopper until Alisson returns.
The Reds had been linked with Stoke City star Jack Butland.
