The Stamford Bridge outfit are looking for a permanent candidate to man their dugout following the sacking of Jose Mourinho, with current boss Guus Hiddink only contracted until the end of the season.
The Chelsea hierarchy have reportedly been impressed by Allegri's work at Juventus, with the 48-year-old leading them to Serie A and Coppa Italia victory along with a Champions League final appearance in his first season in charge.
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A potential move at the end of the 2015/16 campaign has been suggested in the English media, but Allegri insists he is only focused on leading the Bianconeri to more silverware.
"My thoughts at this moment are on Serie A, the Coppa Italia and the Champions League," he told reporters at his press conference on Saturday.
"I am tied to Juventus until 2017 and, as I've already said many times, I am happy here. So that's that.
"Just as there's a game of transfer speculation around players, we get the same with coaches. It's normal."
Despite making a stuttering start to the domestic season, the four-time straight Italian champions are second in Serie A - only two points behind leaders Napoli.