The English champions have been strongly linked with the Iceland international but his father, Arnor, insists Barca will not make a decision on his future until after this weekend's La Liga climax.
He said: "Honestly, I have not heard anything from Manchester United. I can confirm that.
"It's only speculation. I think the club will decide many things after the weekend and what is going to happen after the game (against Gimnastic).
"Then, maybe you might see a clearer picture of what's going to happen. But at this stage, nothing."
Asked whether his son would be willing to stay in Barcelona, Gudjohnsen said: "Probably. He's very happy there.
"He hasn't played so much after Christmas, but he came in before Christmas when Eto'o was injured and did quite well.
"So he actually wants to have another chance next season to prove himself even more."