Mario Mandzukic won a free-kick and seemed to injure himself in the process - leaving Allegri sweating on his fitness ahead of facing Madrid - and Kean met Miralem Pjanic's delivery with a firm header.
"The first rule for tomorrow against Bologna is we've got to play to win".
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"The season right now is great, we have our final game in Cardiff but we'll only focus on that from Monday", said Allegri, who has steered Juve to two Champions League finals in three years.
A win in next Saturday's Champions League final against Real Madrid would see him guide Juve to their first ever treble but there has been suggestions that he could look to walk away on a high should they complete the clean sweep.
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Pogba put a volley fractionally wide in the first minute and in the 18th minute he found the target, albeit with a helping hand. For winning finals, you first have to play finals and learn from it.
"The first time we went [to the Champions League final against Barcelona in 2015] with a gentle pace".
Juventus moved seven points clear of second-placed Roma, which hosts Genoa on Sunday in the final match of Francesco Totti's 25-year career with the Giallorossi.
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Crotone need a win against Simone Inzaghi's visitors if they are to have any hope of beating the drop.
The Atlanta scorer was Alejandro "Papu" Gomez, who recently received his first call-up to Argentina.