With the second-placed Rossoneri now 11 points adrift of table-topping rivals Inter, their thoughts have turned to keeping the closing pack at bay, while their Emilian hosts are in deep trouble near the bottom of the standings with games running out.
With the news emerging this week of star striker Zlatan Ibrahimovic's expected one-year contract extension being a rare positive story in recent months, Milan approach this weekend's assignment in Parma with their top-four place now in serious jeopardy.
Despite suffering injuries and illness, the 39-year-old remains the club's leading goalscorer this season with 15 league goals and will need to utilise all of his experience and know-how to help his younger teammates to recover from their failing form of late.
Milan have not only slipped out of the Europa League at the last-16 stage, they have also won just two of their last five Serie A matches to find themselves only a single point ahead of third-placed Juventus and - more worryingly - only four above Napoli in fifth.
With a scarcely-deserved 1-1 draw with mid-table Sampdoria last weekend, the Rossoneri continued some particularly sluggish home form, as young Norway international Jens Petter Hauge salvaged a point with a late goal and perhaps proved a point to his coach Stefano Pioli, who has offered the talented winger very little playing time since the turn of the year.
Having posted 12 wins, one draw, and just a solitary loss away from San Siro this term, Pioli's side do, however, boast a fine away record in Serie A. In fact, Milan currently find themselves on a three-match winning streak on the road and the last time they failed to win away in the league was a shock defeat at modest Spezia in mid-February.
Given pre-season expectations and the relentless schedule placed in front of a squad that began their European obligations in the early qualifying rounds last summer, earning a Champions League place after eight long years would ultimately be considered a success.
Even if they have experienced an understandable downturn after a scintillating start offered hope of a first Scudetto in a decade, Milan must surely take advantage of Parma's woes this week if they are to return to the promised land.
After a nightmare start to 2021 - with only one point gleaned from eight league games – Parma's slim prospects of avoiding the trapdoor back to Serie B following three seasons at the highest level have started to gradually improve.
Now with eight points from their last seven outings - having fought back twice as January signing Dennis Man's late volley proved enough to take a point off fellow strugglers Benevento last Saturday - the Crociati are four points adrift of safety, though have played a game more than 17th-placed Torino.
Finally, coach Roberto D'Aversa seems to be prompting some improved returns from his once lifeless attack, but the Emilian outfit have found no solution to their troubles at the back; their tally of 56 goals conceded is better only than bottom side Crotone.
Nonetheless, midfielder Jasmin Kurtic found the target for the fourth time this season against Benevento - his second in as many matches - while Romania winger Man opened his account for the club and both his countryman Valentin Mihaila and French forward Yann Karamoh have contributed more in recent weeks.
Even veteran target man Graziano Pelle rattled in a spectacular, age-defying overhead kick in the narrow defeat to Genoa before the international break, but this weekend the former Azzurri striker and his Gialloblu colleagues take a step up in class.
Milan have unsurprisingly dominated them in recent years, with Parma failing to taste victory in their last seven Serie A meetings. Even accounting for a gap due to their time served in Calcio's lower tiers, the hosts are in fact looking for a first league win over the Rossoneri since March 2014.
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Milan should have Rafael Leao back in the squad on Saturday, as the forward - who has been struggling with a muscle problem since the defeat to Napoli three weeks ago - returned to training in midweek. The elusive 21-year-old, with five goals and five assists this term, will most likely be offered a return from the bench.
Fellow forward Mario Mandzukic also returned to full group training this week and should be available to face Parma. Though the Croatian joined the Rossoneri as a free agent in January as cover for Zlatan Ibrahimovic, he has only featured in five games since, having missed the last ten with a muscle injury.
Though not ready for this trip to the Tardini, full-back Davide Calabria could be back in action as soon as next week after undergoing an operation on his right knee. The defensive mainstay has been out since the win over Verona in early March, so either Diogo Dalot or Pierre Kalulu will continue to cover.
Brahim Diaz and Alessio Romagnoli are both still out of action too, with the latter's absence keeping the door open to an extended run for the Simon Kjaer-Fikayo Tomori partnership in central defence.
One of the few benefits of having a bloated and unbalanced squad for Parma coach Roberto D'Aversa is that the injury absences of players including Juan Brunetta, Wylan Cyprien, Simone Iacoponi - plus forward trio Roberto Inglese, Yann Karamoh and Bayern Munich loanee Joshua Zirkzee (now out for the rest of the season) - can be covered without serious concern.
Andrea Conti, on loan from Milan, returned to the bench last week and is now likely to reclaim the right-back berth against his parent club, while Valentin Mihalia will compete with Gervinho and Dennis Man for one of the two wide attacking spots in the Gialloblu's 4-3-3.
Former Feyenoord and Southampton striker Graziano Pelle is expected to continue at centre-forward, ahead of goal-shy alternative Andreas Cornelius.
Parma possible starting lineup:
Sepe; Conti, Bani, Gagliolo, Pezzella; Kucka, Hernani, Kurtic; Man, Pelle, Gervinho
AC Milan possible starting lineup:
Donnarumma; Dalot, Tomori, Kjaer, Hernandez; Bennacer, Kessie; Saelemaekers, Calhanoglu, Rebic; Ibrahimovic
We say: Parma 2-3 AC Milan
As Parma have finally found their shooting boots - averaging two goals per game across their last four outings - they can definitely rattle an increasingly fragile Milan side on Saturday.
Nevertheless, all their attempts to at least replicate the autumn's 2-2 draw between these sides could come to naught if Milan's potent front four can continue their ruthless away form at the Tardini.