The former Bolton and Chelsea striker has made 72 league appearances for the Catalans, scoring 10 times, since arriving in 2006 and was an unused substitute in the club's Champions League final success against Manchester United in May.
But despite being under contract until 2010, reports in Spain have suggested that Gudjohnsen will now depart for around €5 million, a fee that is believed to have interested several English sides, including Blackburn Rovers, West Ham and Tottenham Hotspur.
The player's father and agent, Arnor, recently revealed that he was due to talk with all of the interested parties last week.
But Gudjohnsen has admitted that while his future at the Camp Nou may be uncertain, he is not desperate to join an English club.
"Everybody just seems to think if I don't continue at Barcelona then I'll be coming back to England," he said.
"But England's not the only country that plays football. There are so many options. Quite honestly, I don't know where my future lies.
"My future is at Barcelona, unless anything changes. There's not much I can say, because I don't know myself.
"I need to play, simple as that. I'm a footballer and I love the game of football. I want to play as much as I can."
NEWS: Gudjohnsen future still not finalised
NEWS: Gudjohnsen likely to return to England
NEWS: Gudjohnsen open to Zola reunion
NEWS: Gudjohnsen free to leave Camp Nou
NEWS: Gudjohnsen eyes return to England
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