Moyes believes that his side have a chance of winning the FA Cup this season.
“To be through in the cup gives you a great boost,” Moyes said.
“If you put out the team who are the holders and the champions, you’ve got to think that you’ve got a good chance.”
He added: “I’ve lost to Shrewsbury, I’ve lost to Oldham in the cup.
“The gulf between us, Shrewsbury and Everton, I thought was bigger than the gulf between Everton and Chelsea.
“So there was always a chance that we could win that tie.
“Obviously, it’s been a tough place to come over the years. But Chelsea haven’t enjoyed games against us because the games have been tight as well.”