The former Aston Villa and West Brom defender is due to make a return to the Premier League after the newly promoted Tigers reached an agreement with the Blues
The former Aston Villa centre-back held talks with the recently promoted Premier League side on Monday and is expected to sign a three-year deal at the KC Stadium in the coming days.
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"We've agreed terms with Hull City," Clark told Sky Sports News. "Obviously Curtis and his advisor will be trying to do the same on a personal level.
"Then, he will be going through a medical and that will probably be a formality because he played numerous games for us last season and has got a good appearance record over the past year."
The former West Brom player, who has a year left on his contract at St Andrew's, featured more than 100 times for the Blues after making the switch from rivals Aston Villa in January 2011.
Davies was linked with Norwich City and Wolves during the January transfer window, but is now poised to return to the top flight with the Tigers instead and could become Hull's third signing after George Boyd and Maynor Figueroa.