Liverpool goalkeeper coach John Achterberg says the club should be delighted with the signing of Adrian.
The Reds have won every game this season with Adrian in goals following an injury to Alisson in the opening day win over Norwich City.
Achterberg told the Liverpool Echo of Adrian: "He had to come in from West Ham and he had to settle quickly.
"Everything he has done so far has been really good, we have not been able to complain much at all. It's a different style of play, with West Ham he had to kick the ball long 90 per cent of the time, but we ask him to be calm on the ball and play out from the back.
"To be fair, he has picked it up really quickly. He has adapted fast, even though he had a lot of experience playing in the Premier League.
"It has helped him a lot to settle quickly. He is a calm and confident guy but also a really good guy. He fits in well, I would say. Big credit to him and what he has done. It has been really good, so we cannot complain."