The club have finally shaken off the spectre of relegation in recent weeks and Lambert insists the team can build on the experience of the last nine months - with the backing of the supporters.
"It's not a small project," he said. "It's not a conversation I have had with Randy. I have great respect for him.
"I signed three years here, so I've got two more to go. But it's not about me. This football club is more important than anyone. My job is to keep building it.
"It's been a really hard year. We deserve incredible credit for what we have done. This football club has a magnificent history but you have to keep evolving as time goes on."
Reflecting on the season, Lambert added: "I am delighted for the lads and supporters. I am thrilled for them. They have seen what we have been doing here.
"You wouldn't get 42,000 in the stadium if they weren't behind it. The big test is whether the supporters stay with it. They have been absolutely brilliant.
"They are a young team but they are getting better and better. Sir Alex Ferguson said it himself: 'If you have young players and they stick with you for a few years naturally you're going to get a really good side'. You just have to add to it."
When Villa were at their lowest ebb around Christmas time Lambert was urged to seek funds to bring in experienced - and perhaps overpriced - reinforcements.
However, he never lost faith in his young side and chose instead to back the men he had while adding two more unproven faces in Yacouba Sylla and Simon Dawkins.
"I don't think I had to prove anything to anyone," said the former Norwich boss, whose side face relegated Wigan at the DW Stadium on Sunday.
"My main focus was always on the players and getting results. What was going to happen to me was going to happen. I never lost any sleep over it.
"I know football and what it's like. In football you can be sacked and it doesn't have to be results-based anymore. You have that now with managers leaving clubs. You get sacked or leave clubs for nothing now. So what was going to happen was going to happen."