The German almost left the club in the summer but chose to stay and fight for his place at Stamford Bridge.
Asked about Rudiger after the game, Lampard insisted he never had any doubts about his ability.
"I am very pleased today with the performance of Rudiger and Kurt Zouma," Lampard told reporters."They can take credit for the clean sheet amongst other players.
"I didn't have doubts over Toni. His training and professionalism has been very clear from the beginning since I have been here and certainly in recent weeks. I was very pleased with his concentration levels and the whole back four and five with Mendy as well.
"The concentration levels to have the desire to keep a clean sheet. Going forward, we need more than two centre backs.
'We have Thiago Silva at home and we have Tomori and Christensen in the squad. It is not easy to keep five centre backs happy but we need the levels of competition that we saw on the pitch today to keep moving forward."