Larsson moved to Wearside, back in 2011 from Birmingham City, and has made himself a fan favourite in his five years at the club.
However the Swedish international has suffered a frustrating season; injuries and the selection process reduced him to just five league starts this season.
The 31-year-old only has one year left on his current contract, and his agent admitted that in April that he would leave the club if they were relegated to the Championship.
The Sunderland Echo has reported that the Swede is taking a relaxed approach to his club situation, with Sweden still within a chance of making the last 16 ahead of their game with Belgium on Wednesday.
There have been rumours of the Swede making a move to Leeds United, but those rumours have been quashed, with no contact between Leeds and Larsson's representatives.
Put it off for a week
However they could still qualify as one of the best third-placed teams, and Larsson believes that talisman Zlatan Ibrahimović could extend their stay in the tournament.
He told the Chronicle that people "know" what Ibrahimovic "brings to the team" and is their "main guy" that has scored "more goals than anyone else."
Larsson continued, saying that they will have to "wait and see" what happens, but that he is "sure" Ibrahimović will "come up with something good" against the Belgians.