Ndiaye joined Stoke from Galatasaray on January 31, before playing 71 minutes of the team's 2-1 defeat at Bournemouth in the Premier League on Saturday afternoon.
Lambert, whose team will welcome Brighton & Hove Albion to the bet365 Stadium this weekend, has branded the 27-year-old's display "first class".
"Badou Ndiaye was excellent on his debut last weekend," Lambert told reporters. "For a lad who had only come in on the Friday and not really knowing his teammates, he was first class."
Lambert also revealed that on-loan Paris Saint-Germain attacker Jese Rodriguez was in his thinking for the Brighton clash this weekend.