Henrik Larsson could stay at United for the remainder of the season after his club's chairman, Sten-Inge Fredin, said it is a possibility.
Fredin said: "It's not as simple as saying that he will be back in
"Whether he will join us for the start of the Swedish League depends on different things. What if Manchester United want to keep him and Henrik enjoys his stay at the club?
"It's not as easy as to say that we can force a player to return. Also there's no point having players here who are not 100 per cent committed.
"If United and Henrik are interested to extend the loan period, and if the money is right, we will definitely listen."
Larsson seems happy with his first game for United.
"It was fantastic to score in my first game and also to win the match," He said.
"I was happy to see the goal go in because I had a few chances in the first half, but that's the way it is as a striker. The experience of my debut was everything I expected. You run out and see the stands full and that's what you want. You want to play in front of as many people as possible.
"It was a high-tempo game and it is something I will have to get used to."