Mediaset says Chelsea have reached an agreement to sign Perisic on a free transfer this summer.
Perisic has been on Inter's books since 2015, but his stay at the club looks set to end in the coming weeks, with his contract expiring next month.
The Croatian wing-back is expected to join Chelsea, subject to a medical and the final terms of the deal being ironed out.
The Perisic deal is expected to go through as long as the takeover of the Premier League club is completed.
Perisic has had a glittering career, winning league titles in Germany and Italy, while he also lifted the Champions League trophy during a loan spell at Bayern Munich in 2019-20.
Now, at the age of 33, he has shown no signs of slowing down this season.
He has been a regular starter in Simone Inzaghi's team, registering seven goals and six assists in 33 Serie A appearances to keep his side in title contention.