With 10 more games of the season left, Villa are currently 11th in the Premier League table, seven points above the bottom three.
Villa have not been in the drop zone this campaign, and Lambert wants his young side to continue their development.
"I never really look down," the Birmingham Mail quotes Lambert as saying.
"People were saying last week that West Ham were well and truly out of it and all of a sudden we are level with them.
"We will try to get the next team above us and I never look at it negatively, I always think we can win games.
"We are a young team and we are miles from where we want to be.
"But we are slowly but surely getting there and if they keep growing and being confident their careers will keep going.
"They're a young group and you try to keep them positive, even when there is a drop."