That is according to Sky Sports reporter Kaveh Solhekol, who says Manchester United are making progress in their attempts to secure Perisic.
Inter are holding out for £48million for their Croatian winger, a fee Solhekol says is not agreed just yet, despite some reports suggesting otherwise.
However, a sign they are preparing for his exit is their interest in Lazio's Keita Balde.
Balde plays in a similar position to Perisic and Inter are in talks with Lazio over a deal for the 22-year-old Senegalese forward.
How Manchester United could look with Ivan Perisic Mon, July 10, 2017
Is this how Manchester United could look with Inter Milan ace Ivan Perisic?
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How Manchester United could look with Ivan Perisic
Kaveh Solhekol says Manchester United are getting closer to signing Ivan Perisic
Inter are in talks to sign a replacement for Ivan Perisic, he's Keita Balde from Lazio
Kaveh Solhekol on Man Utd target Ivan Perisic
Solhekol says Perisic's switch to the Premier League is now likely to be sped up over the coming days.
"They are making real progress with their attempts to sign Ivan Perisic," Solhekol said on Sky Sports News.
"So far Inter have been refusing to lower their £48million asking price but a deal is getting closer.
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Inter Milan are attempting to sign Ivan Perisic's replacement, says Solhekol
"Inter are in talks to sign a replacement for Perisic, he's Keita Balde from Lazio.
"That should accelerate Perisic to Manchester United."
Perisic has made 70 Serie A appearances, scoring 18 goals, for Inter since joining from Bundesliga side Wolfsburg in 2015.