The 27-year-old has admitted his desire to play more games but quashed rumours linking him with a move away from the Swans and says there is no reason to leave the club
The 27-year-old scored 14 goals for Swansea last season but has found first-team action hard to come by this term due to the impressive form of Spanish attacker Michu, who has scored 13 in 17 games.
But Graham is not thinking about departing the Liberty Stadium because manager, Michael Laudrup, has not spoken to him about the possibility of leaving.
"I don't see a reason to leave," Graham told reporters. "I don't know where these rumours come from. I can't say enough times on Twitter about them.
"It was Wolves yesterday apparently, then there was Cardiff, Norwich, Sunderland, Reading, Aston Villa - I have been linked with everyone. But the gaffer hasn't said he doesn't want me here so I don't see a reason to be looking elsewhere.”
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Graham did state his desire to play more games, however, and conceded that he would be forced to leave were his manager to accept a bid for him from another club.
"Don't get me wrong, I don't like sitting on the bench and just picking up money, I want to be playing,” Graham continued.
“But the gaffer hasn't said he doesn't want me and that is probably the only time I will go - if the gaffer says we have accepted a bid."