The Rossonero vice captain twice clashed with Jordan, both during the sides' Champions League last-16 first leg at the San Siro on Tuesday - which Tottenham won 1-0 - and after it, when he headbutted the 59-year-old.A statement from UEFA read: "The control and disciplinary body ruled that Gattuso had assaulted the Tottenham Hotspur assistant coach Joe Jordan after the match.
"Gattuso, who was also cautioned in the 76th minute of the game, is already suspended for the return leg of the UEFA Champions League tie against Tottenham after receiving three yellow cards.
"Consequently, the four-match suspension applies to the next four UEFA club competition matches for which he would be eligible."
The ban means Gattuso, who has three days to appeal, would not be available until the final should Milan continue to progress.
