The 27-year old has falling down the pecking order under Michael Laudrup after his 14-goal term for Brendan Rodgers last season prompting suggestions he could be on his way out at the Liberty Stadium.
But Graham has made it clear, that although he is keen to get more playing time, he has no intentions of leaving Swansea.
"I don't see a reason to leave," he said. "I don't know where these rumours come from. I can't say enough times on Twitter about them.
"But the gaffer hasn't said he doesn't want me here so I don't see a reason to be looking elsewhere.
"Don't get me wrong, I don't like sitting on the bench and just picking up money, I want to be playing.
"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."