Liverpool welcome relegated Middlesbrough to Anfield on Sunday next in a game that could decipher whether they will remain third and earn an automatic qualifying Champions League place or be forced into the qualifying round.
"I've been in the business long enough to know the biggest mistake is counting points before you have them", Klopp said after the 4-0 win at West Ham.
"I have a contract with Liverpool, there are two games, there are a lot of chances for us to be in the Champions League next year". That's how all life is handled - to ignore the bad part of pressure and to use the good part of pressure. But they couldn't score, then we controlled the game, then we scored the goal and we had another big chance with the header.
"But these players did and that's why we are in the position we are - 73 points is not a present, we have had to work for it".
Sturridge made his first Premier League start since January 2 on Sunday, and helped inspire the Reds to a crucial victory over West Ham.
Georginio Wijnaldum, who had hit the crossbar in the build-up to Liverpool's second goal, clearly handled in his own area, inflicting injury on Winston Reid in the process, but referee Neil Swarbrick played on, with Coutinho netting 21 seconds later.
"I think Klopp's done very well to keep them in the Top Four and keep them challenging for a Champions League place because when they look at the bench, they've got absolutely nothing".
West Ham boss Slaven Bilic, whose team are 12th, admitted his relief at completing their last home match of a turbulent first season at the London Stadium.
"That is why I'd like to give credit to the players, because it was very hard". We have to be honest about it. "We wanted to avoid that factor of complacency but obviously it was there, at least sub-consciously".
West Ham should have been level on the stroke of half-time but for an astonishing double miss from Andre Ayew.
"We tried our best and went out there to try and put on a performance".
"I felt the balance was right and we didn't have to put too much pressure on ourselves".