The Dutch striker was forced to go off just before halftime with a hip injury.
The Red Devils’ top scorer was replaced by Danny Welbeck after an awkward fall shortly before halftime but his side went on to win 2-0 in his absence.
Ferguson gave an update on his condition after the final whistle and revealed: “Van Persie seems to have collided with the camera dugout. We will assess him tomorrow - it was his hip.
“It will be tender but hopefully he will be alright in time for the Real Madrid game."
The United manager credited his side’s concentration for the win that extended its lead to 15 points over reigning champion Manchester City.
He commented: "It was a great result, for us another game away, it was one of those games which was lively, on a tight ground, not a great deal of football played.
"From us it was more of a determination, a concentration on defending to get through it."
His side went a goal up through Rafael’s strike in the first half and he recalled: "It was unbelievable, goal of the month I would imagine, we were just starting to get into the game a little bit. It was a marvellous hit."
The Brazilian full back cleared Chris Samba’s header off the line while David De Gea was forced into a save from Loic Remy’s powerful shot before Ryan Giggs netted a second goal after 80 minutes.
Ferguson emphasized the importance of that goal in preventing a nervous finish and reserved high praise for the 39-year-old, concluding: "You have to get that second goal and Ryan Giggs has a great record of scoring here. He's delivered again - he's an amazing man."