Having defeated Premier League leaders Chelsea just over a week ago the Reds then struggled to a 1-1 draw at Wigan before losing at Stoke on Saturday.
The defeat at the Britannia Stadium ended a four-match unbeaten league run which has left Roy Hodgson's side in 11th place.
Lee's assertion that they need to keep a more constant level of performance is highlighted by the fact that had they beaten the Latics and Stoke they would have been fifth, banishing all their early-season problems at a stroke.
"I can understand the euphoria after our win over Chelsea but we have always said that we take nothing for granted," said the assistant manager.
"We got a great result against Chelsea and then followed it up with two indifferent results.
"We are all asking that question about consistency, none more so the players.
"These players want to improve, get better and be more consistent.
"It's everybody, not just myself; Roy and Mike Kelly (first team coach).
"We are all in it together and are all trying to find how we can get back to a more consistent vein of form.
"Even after the win against Chelsea we were still complaining and analysing things that we need to improve on.
"I can promise everyone that we are still working hard and trying to put things right."
Liverpool have a run of fixtures over the next two months which do not include any matches against the current top four.
It is an important period for the club and after slip-ups against Wigan and Stoke and Lee is keen for them to get back to winning ways.
But even though Saturday's opponents West Ham are currently bottom of the table the Reds' assistant manager will not under-estimate Avram Grant's side, especially after losing to Stoke who were 18th at the time.
"Every game is difficult in this league and we have got to take each one as it comes," he added.
"Stoke were aggressive and physical against us and we should have resisted it and unfortunately we didn't do enough of that - but we've got to forget about that now.
"I don't look at the league table until the end of the season because there are no easy games and each one has it's own degree of difficulty.
"We will be looking for maximum effort against West Ham in our next game from everybody.
"Hopefully our quality can prevail but it won't be easy.
"They will come here and try to shut up shop and try and prevent us from playing our game plan, but we need to make sure our game plan is better than West Ham's on the day."