The German ended the club's 30-year wait for the Premier League title in June as a season heavily impacted by the UK government's lockdown finally reached its delayed finale.
However, with supporters unable to attend the final games or take part in a victory parade, the celebrations were more muted than might have previously been expected.
But Klopp hasn't considered the possibility of adding time onto a deal that runs until 2024 in order to compensate for a difficult period playing in front of empty stadiums.
He said: "It's a very interesting point of view but it didn't cross my mind yet.
"I have enough other things to think about than about when my contract is ending. I didn't think for a long time about it and I will not start now!"