The Carrow Road side head into the game in woeful form, having gone eight games without a win in all competitions.
Norwich were beaten 3-0 by fellow Premier League strugglers Fulham in an FA Cup third-round replay on Tuesday and will face a Hull side boosted by the signing of striker Nikica Jelavic from Everton.
The Croatia international became Steve Bruce's first signing of the January transfer window on Wednesday, with Shane Long in line to become the second after Hull agreed a fee with West Brom for the forward.
Former Rangers man Jelavic goes straight into the squad for this weekend's game as the Yorkshire club aim to do the double over Norwich following a 1-0 home win in August.
Norwich's last victory came on December 7 with a 2-0 triumph at West Brom, but Hughton is confident his squad have what it takes to get back to winning ways.
He said: "Do I have faith in this group of players? Yes.
"There wouldn't be anybody in the changing room that hasn't had to cope with more difficult times or a period in their career where they haven't got the results they wanted to."
