Brady has been starring for the Tigers in recent weeks.
"I'm really enjoying it," Brady told the Hull and East Riding paper. "I love coming out to play football and there's no better place than doing it here with my mates. I'd love to carry on after January.
"The manager is great. Everything is in order and everyone knows what they're doing. He's been there and done it. Everyone knows what he's done in his career.
"He's been an unbelievable player and he's carried that through into management. His record shows that and hopefully he can add another promotion to his tally this year."