Villa's 8-0 defeat against Chelsea last Christmas was arguably the lowest point of a difficult campaign and Lambert is keen to make amends.
"We owe it to ourselves as well to go down there and try to do better," said the Villa manager.
"Our crowd have been absolutely brilliant. Even after that game, they never turned on the lads. That speaks volumes for the supporters.
"Even though the fans were hurt and everybody at the football club was hurt, the supporters were a major catalyst in helping us last year.
"But I don't think about it (the 8-0 defeat) to be honest. I don't look back on it. It's a new season and there are a lot of new lads in the side.
"Chelsea have got a new manager and some new players so it's two totally different teams."
No bullying tactics
Lambert is determined to try and build on the impressive victory at Arsenal on Saturday, refuting charges of rough-house tactics thrown at his side by Arsene Wenger.
"Have you seen my midfield? They're all about 5ft 4ins. How can they bully anybody? They're footballers. I don't think I've got a dirty player in my side," he added.
"We never bullied anybody. We played hard and fair. We'd never intentionally kick anybody at all. I don't have the players for that and we don't play that way.
"Football is a physical game, you've got to be prepared to go into tackles and be prepared to get hurt at certain times but as long as it's not over the top, you've got to be prepared to press people when you can.
"We'll give it a go, like we did on Saturday. All you can ask is that we go down and give a good account of ourselves. We're ready for it, confidence is really high after what happened at Arsenal and we'll go down there and give it a right go."