The Sweden international, who joined the Cottagers from Rosenborg last summer, has found first-team football hard to come by this season.
He has been restricted to just two outings in the Premier League, with both of those coming from off the bench.
As a result of these limited opportunities, Stoor has revealed that he would welcome the prospect of regular action elsewhere.
"I have to keep my eyes open for other solutions," he told Fotbollskanalen.
"I need more games in order to grow, but at the same time I don't want to give up and state that I can't make it here. Because I believe I can.
"I haven't thought about it that much. I haven't spoken to the club about it but, since I am not playing, I'll keep my eyes open for offers."
PatienceWhile frustrated to be left on the sidelines, Stoor accepts that Fulham's fine form this season has given Roy Hodgson little need to implement changes.
"Given that the team have been playing so well, and the players in my position have been great, I need to be patient," he said.
"I feel I have more to give, but the Premier League is not the place to be developing players.
"Of course the manager will try and teach players new things, but there is pressure to produce all the time."