Villa achieved back-to-back Premier League wins for the first time in 22 months to move six points clear of the bottom three.
Lambert can see encouraging signs that his team young players are starting to develop.
He said: "It was the first time since 2011 Villa have won two games on the trot and that just shows you the magnitude of it.
"The young players have been coming on since the turn of the year in the way we have played and grasped the Premier League and what it's about.
"The team have at times been criticised pretty heavily, but hopefully now people will start to give them the praise that is due.
"They deserve a lot of credit for what they are doing right now. Everyone keeps mentioning we are a young side, but they are growing which I can see every day and every week.
"If you continue to grow something, then hopefully it will grow into something you want to have."
Lambert admits there is still work to be done before Villa make sure of their Premier League status.
He said: "Six points is a good cushion but you look at the fixtures and the league is relentless, really tough.
"Are Villa safe? I'm not so sure. I also wouldn't write QPR off. Look at the experience they've got, they are full of top players and have a fantastic manager. You never write anyone off.
"We can enjoy the international break, will give the lads a few days off, and then they will come back ready for Liverpool."