The Tigers are on the hunt for attacking reinforcements after Robert Snodgrass joined West Ham for £10million.
Pepe has been on Hull's radar this January and they now look set to make a late swoop for him in the final hours of the transfer window.
Indeed, according to reports in France, the Premier League club have made an offer for Pepe on Monday morning.
The exact amount of the bid is currently undisclosed but it has previously been stated that Angers want around £7.5million for the 21-year-old.
But, as well as Hull, Newcastle and West Brom have expressed an interest in the Ivorian and a scrap for his signature may break out.