The Germany international was close to leaving Stamford Bridge back in the summer after he had fallen down the pecking order at Stamford Bridge.
Meanwhile, reports in Spain claim that he is open to a move in the January window, with Barcelona an interested party.
But with Lampard deciding to rest summer signing Thiago Silva after he travelled to South America on international duty for Brazil, Rudiger was handed just his third appearance in all competitions this campaign.
The 27-year-old put in an assured performance alongside Kurt Zouma as the Blues cruised to a straightforward victory over the Magpies at St James’ Park.
And speaking after the game, Lampard admitted he was satisfied with the centre-back’s display and is also pleased with how he has responded to the stiff competition he faces in his position.
‘I was pleased with his performance it’s not easy,’ the English boss said.
‘I talked before the game about having five centre backs a lot of managers would say I’d love five centre backs but it brings difficulties because you can only pick two if you are playing a back four.
‘Three are going to be unhappy and it’s not easy to ask them to come straight into the team if they aren’t playing regularly and ask them to perform and that means they have to have good attitude through the week, good attitude in how they prepare and I’ve got confidence in Toni.
‘I’m very happy and it’s a hugely important to have a strong squad this year with the schedule as it is so for Toni to come in and play and keep a clean sheet is brilliant for him and brilliant for me.’