The Turin giants had needed just a point to officially seal another title and become the first team to complete the league and Cup double for four consecutive seasons.
On football pitches in Rome and throughout the peninsula, Italian children now say they want to support Argentina, "because (Juventus's Paulo) Dybala is so strong", or Belgium, "where Roma's (Radja) Nainggolan plays".
"It's not easy to keep the right mentality just a few days after winning the Coppa Italia final", Allegri said. "The manager demonstrated that he is great and I think our relationship can go on". You reach the final objective with one small step at a time.
Defender Raul Albiol, who scored at Sampdoria as Napoli won 2-0 on Sunday, agreed with his coach's assessment on where the league title was lost. "It's hard to see these four years being repeated", Allegri said.
"If you get overwhelmed by enthusiasm, you're going to collapse three days later".
"Juventus have a special mentality that has been built up through the years", said Di Francesco.
If Milan finish seventh, it could greatly impact their summer plans with the club already scheduled to face Manchester United and Barcelona in California during the same week as the Europa League second qualifying round.
But that goal could also help doom Crotone to relegation, as they fell into the drop zone below SPAL on the head-to-head tiebreaker with both teams on 35 points.
The results: Verona 0 lost to Udinese 1 (Barŕk 20); Torino 2 (Belotti 68, De Silvestri 87) bt SPAL 1 (Grassi 22); Bologna 1 (Verdi 12-pen) lost to Chievo 2 (Giaccherini 48, Inglese 60); Fiorentina 0 lost to Cagliari 1 (Pavoletti 37).
But the last spot will now come down to a final-day showdown when the Nerazzurri travel to Lazio knowing that a win will allow them to join Juventus, Napoli and Roma in the Champions League.
Juventus had early chances with Edin Dzeko firing over, a Lorenzo Pellegrini shot flying wide and Aleksandar Kolarov's free-kick hitting the side-netting.
Juventus was six points clear a month ago but had its advantage slashed to a point in the space of a week.
"There are players here who won all seven titles and deserve Saturday's salute in front of their home fans".