The West Brom boss heaped praise on the 33-year-old after his dream debut.
Lambert scored twice on his West Brom debut on Friday night within hours of his move to the Midlands being confirmed, with the Daily Mail reporting a £3 million price-tag for the veteran forward.
And his new manager has heaped praise on the Reds departee, revealing he is on a lower wage than he was at Anfield.
Pulis told Sky Sports News: "It was important we signed him early enough for him to get some game time, because he needs game time. As you’ve seen today, with the goals he scored, he’s got the quality in the final third that we’re looking for.
"And he’s a good lad. He’s an important signing for the dressing room. He’s on less money than he was at Liverpool, so he wants to play football."
Lambert's Liverpool move was the sorry tale of a striker going strong who was incorrectly signed by a club who didn't use enough foresight at the time. But at least the 33-year-old got to represent the club he supported as a boy - and at least he leaves Anfield with a better reputation than plenty yet to depart Merseyside.
At West Brom, Lambert should have very few obstacles to success. The experienced striker is skilled at both taking set pieces and heading home from them - key qualities in any Pulis side - and showed at Southampton in 2013/14 that he can still score several goals a season.
He may be 33 but, at £3m, Lambert could well prove a bargain for the Baggies.