Antonio was named August's Player of the Month.
Ahead of tomorrow's trip to Southampton, Moyes said: "It says a lot about how he started the season because his goals have been excellent for us and his play has been very good.
"He came back in pre-season in good condition and worked very hard during that period. He's been terrific for us and long may that continue.
"We are going to have to manage him but I do think he's in a better place than he has been before. Obviously you can get an injury which can put you out. We've brought in other people who can maybe score goals in another way, but we'll have to try and use him at the right times and in the right way."
On Southampton, Moyes added: "I've always thought they've got a really good team and a good model with the way they work at the club.
"When you have to sell players on and bring players in, quite often it's the new young players who give everybody a lift, so it'll be a tough game.
"Southampton will know they'll get a tough game against West Ham as well."
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