Clarence Seedorf's side caused a surprise by defeating the Viola in midweek and will hope to build on that success this weekend
The Rossoneri won 2-0 away to Europa League-chasing Viola on Wednesday, thanks to goals from Philippe Mexes and Mario Balotelli.
The result leaves them in 12th place, eight points adrift of fifth - which would secure Europa League qualification - with eight games remaining.
Chievo, meanwhile, are desperate for the points as they look to stave off the threat of relegation, although they will need to buck the trend of their woeful recent record against Milan to get them.
They have gone 14 matches in all competitions against their illustrious opponents without winning, a run that dates back to a 2-1 league success in December 2005.
Corini's men lie 16th in the Serie A table, three points clear of the bottom three but should head into the game in buoyant mood after an emphatic victory on Wednesday.
Two goals from Alberto Paloschi and one from Luca Rigoni earned them a 3-0 home success over fellow strugglers Bologna, allowing them to leapfrog their opponents in the standings.
With third-from-bottom Livorno hosting Inter on Monday, Corini and his charges will see Saturday's match against a faltering Milan as a prime opportunity to heap more pressure on their relegation rivals.