The Villa manager admits his players are in "an absolute war" in the fight to avoid the drop from the top flight, with a home match against QPR next weekend following on from Saturday's clash at Reading.
It is only just over 30 years since Villa won the European Cup and they are the fifth most successful club in the Premier League in terms of points accrued since its formation.
The likes of Reading and Southampton were amongst the favourites with bookmakers last summer to make an instant return to the Championship.
But demotion for Villa would cause shock waves similar to when Newcastle went down four years ago.
When asked if there is added pressure, Lambert said: "I think there is a touch of that because of the size of the club and the history.
"But you have to embrace that and not be frightened by it. I don't think you can hide behind it. You have to ready for it.
"I think as time goes on it (the pressure) gets cranked up. But it's something you have to thrive on and not let it frighten you.
"You have to be ready for it. I don't wilt under it, I meet it head on.
"Every game is massive in this league, it's huge, and you can stretch that back to the first day of the season.
"You have to try to win more games than not. They are huge games for us (against Reading and QPR), no-one can shy from that
"But they are games we go into with confidence that we can win them.
"We probably need to win four more games but everyone else will be saying the same. There's still 30 points to play for."
Lambert admits he had to scrap and fight to make his reputation in the game before becoming a European Cup winner with Borussia Dortmund and hopes the Villa players have the same attitude,
The Scot said: "I've had major disappointments as a player. Until I went to Germany I was playing hobby football. When I went to Germany, it became a real job.
"I had to up roots, take the bull by the horns. I didn't have a contract, I didn't have anywhere to go. That's why I went to Dortmund. I had to go on trial.
"I am not just sat here having been born with a silver spoon in my mouth. Everything I have always had to earn.
"I wouldn't put that pressure on them (the players). They are giving us everything they have anyway. But you don't realise what you've got until it's not there.
"That's one thing I would say. You have to earn the right in football. It doesn't get given to you - even the top players and top managers.
"You have to appreciate what you have here. It is an unbelievable place to work. A lot of them have been brought through the ranks so they don't know any differently.
"The only thing they probably know is they are in absolute war now and you have to see it through. They are going to have to fight for every point."
Lambert has spoken with acting skipper Ciaran Clark after his error gifted Manchester City the winner at Villa Park on Monday.
He said: "Ciaran is alright. I spoke to him after the game on Tuesday. I had a chat with him but he's been great for us. He'll be better for it in a stupid, roundabout way.
"It would be different if he was going around making mistake after mistake.
"He tried something because his confidence was extremely high with the way the game was going, but I'm pretty sure he won't try anything like that again."