Tuchel is now 10 matches unbeaten since taking over from Frank Lampard with the team drifting in ninth place.
But he is not happy with just moving into the top four and insists settling just for Champions League qualification is not an option.
“We didn’t think this way. We have already been in the top four after a win against Newcastle and we cannot lose the focus by looking at fixtures all the time, it does not help,” he said after the win.
“I know it is boring for you but we have to prepare every match on the highest level as this League doesn’t allow you to drop one per cent.
“If we want to keep going we have to refocus for Everton (on Monday) and nothing else and the rest will take care of itself.
“There are still 11 games to go, still a long way, we are in the race.
“We closed the gap very quickly and it is big effort and now we are in the middle of the race and we need to keep going.
“But this League, the competition in the Champions League and FA Cup, drives us and it is not time to lay back and become too relaxed.
“I have a hungry group and I am hungry and we are not finished.”
Additional reporting by PA.