The Red Devils face Jose Mourinho's side at Stamford Bridge on Sunday but will be without the two strikers who are still struggling with injury
The England international has been struggling with a groin problem and has returned from a warm-weather training break in Egypt but is still not ready to make the trip to Stamford Bridge.
“Wayne’s come back, he’s fresh but he’s not ready for Chelsea,” the boss told reporters.
“He’s training, he’s on the grass, doing some running and looking quite good. He’s had a break, done a lot of strengthening work around his groin and hopefully enjoyed a few days in the sunshine as well. Hopefully he’ll benefit from it, but not for this game.
“I don’t want to put a date on it just now as I don’t want to say he’ll be fit for whatever game and then I find he’s not, but we’ve just got to take it bit by bit. I’ve watched him running today; he looks well and is in really good condition."
Rooney will be joined on the sidelines by Robin van Persie, but Moyes is optimistic the Dutch international is not too far away from a return to action.
“I’m hoping Robin has a good chance of training at the start of next week, so if I can get him back out on the grass and back with us, it’ll be a great boost for us all,” he added.
“He’s a really important player and a player we’ve missed. But he’s getting closer now and most of them are getting closer to fitness, so let’s hope it’s not too long until we get them back.”
The Manchester United manager also confirmed that Anderson was on the verge of leaving the club for a temporary spell in Serie A.
"He’s going out on loan to Fiorentina," he said. "We’ve not been able to get him as many games as he’d hoped or we hoped we might get him so we feel as if it is a good opportunity for him.
"He’s going to a good club and a good league, so hopefully it will be a benefit."