Currently on loan to the club, defender Kamil Zayatte is expected to sign a three-year contract in the January transfer window.
After crossing from Swiss club Young Boys at the beginning of the season, the Guinea international has impressed at the Tigers and the club are set to offer him a deal.
Its is believed to be worth £2.5million between Hull and Young Boys and Zayatte's agent Willie McKay said it is as good as a done deal.
"It's pretty straightforward, it's just a matter of when," he told the Daily Star.
"I don't foresee any problems."