The midfielder - Villa's player of the year last season - made a solid substitute's appearance in last week's friendly win over Norway at Wembley before continuing to impress in the European qualifier in Switzerland.
"I didn't see his first appearance against Norway because I was away watching a game myself," said Lambert. "But I saw his full debut against Switzerland and I thought he grew into the game and was excellent. As the game went on he was great.
"If you perform like that, then hopefully when the next squad is announced he'll be back in it again.
"He's been playing well for me for the last few years, so it's not something that has surprised me. I've always said that he wouldn't let anybody down and I'm delighted for him for the way he played."
Delph has one year left on his current deal and Lambert added: "There a few players who are going to be out of contract, to be honest, and we'll try to get around to talking to them. I spoke to Fabian early doors and we'll see how it goes.
"We've just got a new chief executive in (Tom Fox) which I'm certain will help. I'm pretty sure we'll sit down with Fabian. I'm not worried. When players get into the last year of their contract, it is what it is.
"It's not any great issue. Conversations will go on. I met Tom the other day, he's a really good guy and I'm pretty sure things will start to happen pretty soon."
Villa sit third in the table after an unbeaten start and Lambert takes his side to face Liverpool on Saturday night full of confidence.
"This is a really healthy place at the moment," he said. "The season's started well and we'll go to Anfield with confidence.
"Liverpool lost Luis Suarez, yes, but they strengthened over the summer and brought in a lot of good players to be prepared for competing in various competitions, including the Champions League so we know it won't be easy."