Graham is currently on a season-long loan from Sunderland, and he scored his first goal for the Tigers in Monday's 1-1 draw at his previous employers Swansea City.
But Graham is unsure where he will be playing next season and told The Sun: "It's out of my hands. I think it's a season-long loan, but if there is an option then we will have to see what happens.
"I haven't spoken to the new manager or anyone at Sunderland. It was Paolo Di Canio who sent me out on loan.
"I'm concentrating on doing well for Hull. The manager has shown a lot of faith in me. He's been very good for me since the moment I walked into the club.
"He kept reminding me how good a player I am even though I hadn't scored for a while. That makes a difference.
"Goals give every striker confidence. It's a tough league and you might only get one chance so you have to take it. I hope that was the first of more to come.
"Hull worked hard to get in the Premier League and we don't want to give it up easily."
Graham admits it was a relief for him to end his 11-month goal drought, which spanned more than 30 games.
"There is a danger of doubting yourself," he said.
"You would if you were not getting reassurance, but everybody around me, not just the players but my family and everyone, have been superb.
"I've got the goal and I hope we can put this to bed. I never regret anything in football. You have your ups and downs and you take it how it is.
"It's easy when goals are flying in but I made that decision to move from Swansea and I stand by it."
Graham insists he has no regrets over his decision to quit Swansea for Sunderland in January.
"I sat around for a few months waiting for my chance. I felt when I did get it I took it. I got back in the team in January, scored four in four and then didn't play against Everton away when Nathan Dyer came in.
"I thought my face didn't fit and it was time to move. I wanted to play football, not sit around."