The Premier League champions kicked off their group-stage campaign with a win following Nicolas Tagliafico’s own goal in the first half.
Mane, meanwhile, was replaced in the 60th minute and was immediately given ice to put on his right leg as he sat on the bench.
But after Liverpool’s victory, Klopp claimed that the issue is ‘not a problem’ for Mane.
‘Sadio has still since a few days a dead leg,’ said the Liverpool manager.
‘In that area, it’s still painful but it’s not a problem.
‘When he doesn’t play he puts ice on it.’
Klopp also decided to replace Roberto Firmino and Mohamed Salah along with Mane on the hour mark.
And the Liverpool manager was keen to praise the efforts of the three substitutes Diogo Jota, Xherdan Shaqiri and Takumi Minamino.
‘The game became pretty wild, we had to defend really altogether and we defend in a 4-5-1 which means both wingers have to be really involved in defending,’ said Klopp.
‘And then in the moment there were incredibly big spaces for the counter attack. And we thought it’d make sense to bring their fresh legs because all three who came on are in really good shape, fresh, in a tricky, difficult game on a difficult pitch.
‘That helps a lot. And you saw, they all really helped a lot.
‘Takumi, in both directions, incredible between the lines, and Diogo is a machine, he can punish opponents in a one-on-one situation.
‘We had these moments but we didn’t finish it off unfortunately but it’s completely fine.’