There has been talk of the Geordie striker being recalled by parent club Sunderland.
"I've not spoken with anyone at Sunderland regarding January. I'm just fully concentrated on doing well here, getting back on the team and helping Hull City get some more points on the board," Graham told the Hull Daily Mail.
"I'd like to stick around. The gaffer obviously showed a lot of faith in me in the summer, so I'd like to repay that over the course of the season."
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