AC Milan are currently in the running for three trophies after an impressive start to the season but will need to maintain their excellent form if they want it to continue with a tough fixture list coming up.
The San Siro side will kick off February's league matches with a visit to Lazio, whom they have only recently beaten in the Coppa Italia, before lining up fixtures against Napoli and Udinese.
They will also face Juventus in a two-legged Coppa Italia semifinal tie and Arsenal in the first leg of the Champions League second round fixture.
Confidence in the Rossoneri camp is high after beating Lazio 3-1 last week in the Coppa Italia last week and Allegri feels that the team will need all the morale boost they can get with the gruelling set of games coming up.
He told La Gazetta dello Sport: "We have a lot of big games in February, the semi-final of the Italian Cup and the last sixteen in the Champions League.
"We must be ready and get to play all matches in the best physical and mental condition."
With the upcoming visit to Lazio's Stadio Olimpico coming up this weekend, the 44-year-old has warned his side to not expect the same situation as last week, where Milan came out easy 3-1 victors over Lazio in the Coppa Italia tie.
He added: "The match against Lazio in the Italian Cup was a good one from a technical point of view, they played three at the back, we got in front and played well.
"That's not taking anything away from tomorrow being difficult because Lazio is a good team.
"They [Lazio] have Klose who is having an excellent season, along with Rocchi they are a good partnership. They have Ledesma. They have a good squad and deserve where they are in the table."
Allegri went on to talk about the Scudetto race, where AC Milan are only a point behind Juventus in the Serie A table despite having the distractions of European football to occupy them.
The manager conceded that the Bianconeri's undefeated status this season is not a coincident and he expects that his side will need to be nothing short of their best to challenge for the title.
"It is normal that Milan are favourites because we won the title last year but it is true that Juventus are the only team unbeaten in Italy and are on 44 points.," he added,"I think Juventus are having a wonderful year. "
"They have the best defence in the league and are champions of Italy at the moment."
AC Milan will have the chance to go top of the Serie A table should they defeat Lazio after Juventus' match against Parma was snowed out on Tuesday evening.