The striker is excited by his arrival at the KC Stadium, saying there are many similarities to when he joined Swansea City in 2011, a club where he enjoyed big success.
“I’m delighted to be here," Graham told www.hullcityafc.net "It’s great to come to a club where everybody is on a high after winning promotion and I’ve only heard good things about this club.
"I’ve spoken to the manager here and to Steve Agnew, who I know from my time at Middlesbrough, and like I say, everything I hear is good.
“It’s exactly the same as when I joined Swansea a couple of years ago, a club coming up into the Premier League. The stories for the two clubs are very similar.
“I know I’m coming to a good club with a top manager, a fantastic stadium and some very good players.
“When the chance came to sign here on loan, I jumped at it.”
Graham’s arrival at the Tigers' pre-season training camp in Portugal caps off a hectic few days for the striker, which has taken in Italy, where Sunderland were on a pre-season tour, Paris, Newcastle and Hull but the 27-year-old is happy to have done so with the belief that he has made the right move.
“It all started in Italy at 1pm on Tuesday,” added Graham.
“I’d spoken to the manager at Sunderland and been told that I wasn’t part of the plans, so when the call came I was straight onto a flight to Paris, then on to Newcastle, from Newcastle to home for a couple of hours and then on the road down to Hull before flying out to Portugal earlier this morning - I feel like I live on a plane at the moment!
“But it’s all part and parcel of what it’s all about. It’s all done now and I can look forward. Training camps are a chance for players to bond and I don’t want to miss out on that.
"We’ve got a couple of games out here as well, so if everything goes to plan I’m hoping to get involved in those, although the game on Saturday might come too early.”