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A first-half strike from Jens Petter Hauge sealed all three points for a much-altered Rossoneri, who fielded four players born after January 1, 2000 for the first time.
Despite making seven changes to the team that beat Celtic on matchday five, Stefano Pioli s men still made fairly light work of Sparta, who have now gone eight games without a win over Milan in European competition.
A red card for Dominik Plechaty left Sparta with too much to do, with Milan progressing as group winners after Lille s surprise defeat at Celtic.
Hauge opened the scoring in fine fashion 23 minutes in, nutmegging Tomas Wiesner before placing a precise low finish beyond the reach of goalkeeper Milan Heca.