Eintracht Frankfurt have granted the 21-year-old permission to travel for a medical ahead of Tuesday's deadline, and Bahoya himself is understood to be open to the switch after previously being tied to a string of Premier League suitors.
The France Under-21 international holds the Bundesliga's outright speed record, having been clocked at 23.09mph during a match against Bochum in 2025, and adds explosive pace to a Hull squad head coach Sergej Jakirović has reshaped almost from scratch this summer.
Should the move go through, Bahoya would become the Tigers' 13th signing of the window - an extraordinary number for a club that only secured promotion through the play-offs in May. He arrived at Frankfurt from Angers in 2024 and has made 78 appearances for the German club, contributing seven goals and eight assists while operating mainly on the left but capable of playing across the front line.
Hull City's spending has coincided with a bright start back in the top flight: victories over Manchester United and Coventry City in their opening two Premier League matches have them handily placed, a return few expected from a newly promoted side investing so heavily and so quickly.
Bahoya's arrival would give Jakirović further attacking depth as the club looks to build on that early momentum through the closing days of the transfer window.
Bahoya's rise has been rapid since his move to Germany, arriving as a relative unknown before a string of eye-catching performances at the start of this Bundesliga season pushed his valuation sharply upward, with some reports in Germany suggesting Frankfurt could ultimately recoup several times the fee they paid for him. He had also been strongly linked with Everton in recent weeks, but Hull's willingness to move decisively appears to have put them ahead in the race.