The Midlanders shipped 15 goals without reply in three games before finally stopping the rot with a 2-2 draw at Swansea on Tuesday.
Villa fielded their youngest ever side in a Premier League game, with an average age of 23 years and 119 days, but Lambert was encouraged by the display at the Liberty Stadium, where they were only denied victory by a last-minute equaliser.
He said: "We have been better than we have shown in the last three weeks.
"A result like this will always be a building block, it's a long-term job I have here.
"It's a massive job and the football club will be better in the future.
"We do have experience in the squad but some lads are injured at the minute, the club has been in this position before so it is not new to them.
"We know you have to earn the right to go up the league table but the future of the club will be really good.
"Everybody waxed lyrical when we beat Liverpool and two games later against Chelsea people said we can't do anything right, but I will keep the belief I
"I have a great belief in what is happening here."