With the player’s deal at San Siro set to expire at the end of the season, the Tigers are hoping to sign him on a cut-price deal in the January window.
And given that AC Milan would prefer selling him this month to losing him on a free transfer in the summer, the agreement appears on the horizon.
Sulley Muntari is aware that he is not in the first team plans of new boss Clarence Seedorf and he is reportedly interested in a return to England.
It was current Hull City boss Steven Bruce who offered him a chance to return to the Premiership, having signed him on loan while at Sunderland.
The Tigers are currently on a three-match losing run in the league and are priced at 2/1 to defeat Crystal Palace on the road.