A 3-2 victory over struggling West Ham left the Reds requiring just four more wins at most to lift their 19th domestic title.
Despite dropping just two points all season, though, the Reds boss does not anticipate it being easy over the next month.
"I think we passed the moment where we treat him like a young boy, he is just a proper member of the squad," added Klopp.
"Everybody has to contribute, everybody has to bring on the pitch what he is able to do – and the boys do a lot to bring him or (Andy Robertson) in the position and save them there.
"I don't want to make the performance more than it is, I am completely happy with it but that's how football works on the highest level."
West Ham remain in the bottom three after taking just two points from the last seven matches but manager David Moyes admits matches like this one do not come into the relegation battle equation.
"It wasn't a big game, neither was Man City (last week)," said the Scot after leaving Anfield for the 16th time without victory.
"The big games start now. The players have been told that in the dressing room."