Milan head Serie A by eight points with four games left and due to their better head-to-head record against second place city rivals Inter Milan, they need only four more points to be crowned champions.
They could even win the title this weekend if they beat Bologna at home on Sunday and the reigning champions fail to win away to Cesena the day before.
"Maybe Sunday won't be enough but we should be thinking only of getting these four points and winning the title," Allegri told Sky.
Milan are heading towards a possible double as they are also in the Italian Cup semi-finals, although last week they drew their home leg against Palermo 2-2.
The one blot on Allegri's record this season was Milan's early exit from the Champions League.
Having been beaten into second place in their group by a vastly superior Real Madrid, they were knocked out in the last 16 by Tottenham.
"We did everything possible," he said. "Of course we could have beaten Tottenham. We didn't manage to but there's nothing to reproach us about. Right now it would be wrong to think about next season, we must think only about the title.
"There's also an Italian Cup semi-final to play so we'll try to achieve these two objectives (league and cup) which are the most important things."
Allegri sprung to the defence of forward Antonio Cassano who missed three good chances against Brescia on Sunday.
He has also had to play second fiddle to the likes of Zlatan Ibrahimovic, Robinho and Pato since arriving -- out of shape and overweight -- in January.
"Up until now I've been very happy with what he's done. He's been decisive in several games," said Allegri.
"It's normal that people expect the maximum from great players but that's not always possible."
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