Villa have hit form in recent weeks, winning three of their last four games, but they are still only two points outside the bottom three heading into the final six matches of the season.
They host Fulham on Saturday, but Lambert has warned his players to take nothing for granted despite their improvement in form.
He said: "I don't sense any feeling that they feel the job's done and they know the hard work's still there, but they also know that they're playing really well at the moment.
"The more that we can keep winning the more it'll happen and they'll get used
to that feeling.
"If we do get that winning feeling and we're at it then we're a really good side that's for sure.
"If you keep that collective thing and that spirit then that's half the battle. It's a team thing. If you look at the most successful teams then everyone's pulling the same way and this isn't any different."