The Senegalese forward is currently turning out for Lokomotiv Moscow.
29-year-old N’Doye has been targeted by Hull as a replacement for both Nikica Jelavic and Abel Hernandez, who have failed to impress this season.
He is out of contract at Lokomotiv Moscow this summer, but the Mirror has said that the forward is keen to secure a cut-price move to the Premier League this month. If no move materialises, the report suggests that he will sign a new long-term contract with the Russian club.
There is also a reported interest in the 31-capped international from Swansea City and Crystal Palace, as per A Bola, and that story indicates that a €3 million offer may be enough to pull him away from Russia.
N’Doye signed for Lokomotiv in the summer of 2012 from FC Copenhagen, having also turned out for Panathanaikos, OFI Crete and Académica Coimbra in Europe. He has scored 27 goals in 68 games for the Russian club, having found the back of the net 82 times in 150 games for Copenhagen.
However, if a deal is completed for N’Doye, he will not yet be able to link up with his new squad, being away with Senegal at the 2015 African Cup of Nations. With his country looking to qualify for the latter stages of the tournament, he may not be available for selection until the early weeks of February.