Reading and QPR are all but down, leaving one space in the npower Championship to be decided over the final four weeks of the season.
Wins for Sunderland, Norwich and Stoke last weekend gave them a little bit of breathing space and left Wigan and Villa as the two teams most in danger.
The Latics currently occupy 18th place, but have a game in hand on their rivals, while Villa's poor goal difference could also count against them, especially if the situation is the same when the two sides meet each other on the final day of the season.
Villa have the chance to get themselves out of it before then, starting on Monday with another key clash against Sunderland at Villa Park, when victory would draw them level with the Black Cats.
Lambert said: "Even above (Sunderland), nobody's out of it. And the way the fixtures have been thrown up this weekend, there's points there to be won and points obviously that people are going to lose.
"I'm pretty sure if you asked the teams above us, there would be a few saying the same."
Two wins from their remaining matches against Sunderland, Norwich, Chelsea and Wigan would take Villa to the magical 40-point mark, but Lambert is more focused on ensuring his side keep their fate in their own hands.
Asked if 40 points would be enough, he said: "I'm not sure because you don't know how other results go. But you won't be far away from it.
"It's in our own hands, that's the good thing. It would be different if we had to rely on other people, but we don't. You look after your own, and if we do that then we'll see what happens."