The 21-year-old scored in the first half of the 3-2 victory against Harry Redknapp's relegation-threatened outfit at Villa Park before setting up the winner for Christian Benteke late on.
After goalkeeper Brad Guzan hailed the Austria international's ability to close down space off the ball, Lambert followed suit by saluting Weimann's contributions after earning an extended run in the side.
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"The biggest compliment I can give him is that he's a brilliant guy and gives you everything he's got. If he keeps that he will go a long way.
"The team's overall enthusiasm is exceptional. Andi showed that with his work for the third goal - he never gave it up. That's Andi all over. That's his character.
"The goal he scored himself was brilliant. It was a fantastic finish. It was a brilliant goal.
"I don't think he was a regular in the side when I came in. He was in and out. You give him a chance.
"He's playing exceptionally well. I know his natural position is through the middle but whether he plays off the line or through the middle he seems to score.
"If he keeps that enthusiasm and that hunger and desire to play a game of football he will have a big, big career."