Sinclair believes the expectations at Chelsea would be too much for Moyes.
"Everyone knows what he's done at Everton is superb but, to be honest, I don't know if Chelsea is the right job for him," he told talkSPORT. "He's used to keeping a club like Everton afloat on not a lot of money, but they haven't won anything in a long time.
"Being Chelsea manager is about winning things. If you don't win things then, as far as the supporters are concerned, it's a poor season."