Striker Christian Benteke further enhanced his growing reputation, while defender Ciaran Clark is adding to his stature with every game.
Lambert said: "We've just played the two Manchester clubs and Arsenal in succession, a tough ask for anyone, and the performances have been excellent.
"Even at City (when Villa lost 5-0) we were in the game until a controversial penalty and the point against Arsenal was well deserved.
"This is a young team and they will make mistakes and I've said from the start that is a long project and things will not happen overnight.
"But we've come through these three games, have got goals in the team and, with the way we are playing at the moment, we will be fine."