There has been speculation the Frenchman is out for the remainder of the season with knee ligament damage.
However, chief executive David Gill has dismissed that suggestion.
"He only has a slight knock, " Gill told Radio Five Live's Sportsweek programme.
"He is not going to be out for the rest of the season - I know that for a fact."
Saha has been troubled by a series of injuries since his £12.8million move to Old Trafford from Fulham in 2004.
He had knee surgery in the summer and has scored four goals so far this season.