The two meet on Monday night at Stamford Bridge in the London Derby, with Moyes leading Hammers to the best start of a season in five years.
Moyes has recently said he may have something to prove to some of the few people who have suffered the most in Manchester United and Sunderland since leaving Everton, but Lampard says his odds have nothing to do with it.
“He has nothing to recover,” Lampard said. “When you work in this job, no matter what club you are in, any manager will understand that there are always a million elements.
“You work to succeed, and it’s always subjective to everyone outside. As a manager, you see things differently.
“It’s clear that the clubs he manages are the best football clubs he’s in. He’s doing a top manager job in West Ham. That’s important.
Sam Allardyce’s return to management brings the number of British managers in the Premier League to 11, something he has not seen in a few years.
When Lampard ressed that it didn’t matter where a manager came from, Chelsea boss knew it would help motivate young British coaches.
“This is the Premier League in England and we see some British managers doing very well,” Lampard said. “I know there will be a lot of hard work behind this, and it’s a great thing if it can inspire younger managers or players who want to be managers now. It’s a good thing British managers are coming in and what you mentioned is working well.
“Sam Allardyce and David Moyes have been doing very well for years.”