Algeria midfielder Ismael Bennacer volleyed in from Olivier Giroud's lay-off to break the stop not long before the hour mark.
Leonardo Pavoletti's 90th-minute header struck the Milan crossbar as they hung on for a third consecutive 1-0 success.
Giroud and Brahim Diaz terminated wide before half-time, while Franck Kessie's long-range strike hit a post.
Napoli, who prior fought against eminent loss to win 2-1 at home to Udinese, are second in the table.
Udinese drove through Gerard Deulofeu, yet Napoli's Victor Osimhen made it four objectives in two games with a quick twofold right off the bat in the final part.
Udinese's on-credit Arsenal protector Pablo Mari was shown a red card late on.
Reigning champs Inter Milan drew 1-1 at home to Fiorentina to trail rivals Milan by six, yet with a game close by.
Lucas Torreira put Fiorentina in front soon after half-time before Denzel Dumfries hello there
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