With Paris Saint-Germain clawing back for a 2-2 draw with Napoli elsewhere in Group C, Klopp’s side moved back to the top of the table.
But while he was full of praise for his players after their joint-biggest win of the campaign so far, the manager was keen to stress that they are not through to the last 16 yet.
“It would not be a big surprise for you that I think we are not through yet!” he said.
“This group will obviously stay exciting until the end, which I thought was pretty clear immediately after the draw.
“You cannot do more than win your own games and then the situation changes in your favour.
“That happened tonight. But it doesn’t say too much about the group, to be honest.”
Klopp also discussed Salah’s supposed apathy after netting his 50th goal for the club, in record time, saying that “he’s completely fine.”
Liverpool are next in action on Saturday afternoon, in a rare 3pm kickoff as Cardiff City make the trip to Anfield for a Premier League tie.