Lambert returns to face Norwich for the first time since leaving to take charge of Aston Villa when the two sides meet in the quarter-final of the Capital One Cup tonight.
The 43-year-old left Norwich under something of a cloud after guiding the club to back-to-back promotions and securing a 12th-placed finish in the Barclays Premier League last season.
Hughton replaced Lambert at Carrow Road and, after a slow start, is beginning to pick up results with his side currently unbeaten in 10 games.
The former Newcastle boss has hailed Lambert's contribution during his spell in Norfolk.
"I can only speak about the job that he did here and what I've inherited," he said.
"I have inherited a great group of lads that have integrated the new lads in in a very good way. You only have to look at his achievements in his three years here to see he's been successful."
Villa have been inconsistent in the league this season and currently sit 16th after picking up just three wins. But they have reached the last eight of the Capital One Cup and Hughton is certain both teams will be keen to advance to the semi-final stage.
"It's a competition that I'd like to make progress in and I'm quite sure that Paul would be exactly the same," he said.
"Irrespective of what this fixture means, one of these teams will get through to a semi-final and I would imagine he's every bit as desperate as I am to get there. It's an important trophy for us and it also keeps the momentum going."