Alisson enjoyed a sensational debut campaign on Anfield, winning the Premier League golden glove for the most number of clean sheets while he was named the best goalkeeper in the Champions League on Thursday.
Consequently, Liverpool will want to have him available again soon although Klopp insisted that they will not rush him back due to the nature of the injury.
Speaking ahead of Liverpool’s trip to Burnley on Saturday, Klopp said: ‘He [has] made steps, of course, but it was a proper injury, so it will still take time.
‘How it always is with professional sportsmen, when you have a muscle thing and it takes long, then it takes a while as well until you can bring the muscle to at least the same level it was before.
‘A calf muscle is pretty important for jumping – and for a goalie, it is quite important that you can jump from time to time, so it will take time.’
Following the sale of Simon Mignolet to Club Brugge, Liverpool secured the services of Adrian after the Spaniard’s release by West Ham in June.
Adrian enjoyed a sensational start to his Liverpool career by saving a Tammy Abraham penalty in the Super Cup but he has conceded at least one goal in each of his four appearances.
Klopp appears to be happy with him, though, saying: ‘But, thank God – and hopefully it stays like this – we have a fit Adrian in the back and now in charge, which is good. So far, I am really happy with everything I saw.
‘He is a good guy, which is important as well, but most importantly, of course, he can catch balls and that’s good as well.
‘The solution we found for it is really good, but of course it would be better if Ali was around but that will take still some time.’