Graham has been linked with moves to Norwich and Cardiff, but the former Watford man has spoken of his desire to remain at the Liberty Stadium.
He said: ""I kept him in the side, not just because he scored at Fulham but because he did a good job in a difficult game the other day.
"He could have scored one or two and in this game his movement was much better, he looks good.
"The goal at Fulham gave him confidence as we know forwards live for goals.
"He did not have that many chances against Villa but he had the one at the end and scored to give us a point.
"It is always good, even if we dropped two points, not to lose a game, to keep getting points on the table."