Roo, RvP to miss Chelsea game
Rooney has still not recovered from a groin injury, while Van Persie has been sidelined since the Champions League win over Shakhtar Donetsk in December after he suffered a thigh problem.
"Wayne is not ready for Chelsea," said Moyes
"He has been doing some running and has done some strengthening work around his groin. I have watched him running today. He looks well.
"Overall we are pleased. We hope we can get him back as soon as we can but we don't want to put a date on it."
Van Persie is slightly further behind in his recovery but with a blank weekend to follow Wednesday's Capital One Cup semi-final with Sunderland, there is a chance of both returning before very long.
"I am hoping Robin might be able to start training next week," said Moyes.
"We want to get him back on the grass. That would be a great boost for us. He is a really important player.
"We have missed both of them but they are getting closer."