That's according to Sky Sports journalist Dharmesh Sheth.
The Croatia international has been tipped to join the Red Devils in recent months, with Jose Mourinho a huge admirer of the winger.
United and Inter have struggled to agree on a transfer fee for Perisic this summer.
The Serie A giants are demanding around £48m for the 28-year-old.
And according to Sheth, the Red Devils are close to agreeing a fee but Perisic will travel to China with Inter today for their pre-season tour.
"Let's start with Manchester United and developments on Inter Milan winger Ivan Perisic," Sheth said on Sky Sports News.
"We are told a compromise on a fee is close.
"Are Inter ready to relax their £48m asking price?
"In another development, Perisic is expected to travel to Inter's pre-season tour to China."
Mourinho wanted to land Perisic before Inter jetted off on their pre-season tour today.