That is according to Sky Sports reporter Dharmesh Sheth, who says Manchester United look set to get their man for less than the original asking price.
Inter originally wanted £48million for Perisic but it looks like they will be accepting a lower offer from Jose Mourinho's side.
The Croatia international is set to become Mourinho's third signing of the summer transfer window.
Defender Victor Lindelof has arrived from Benfica for £30million and striker Romelu Lukaku from Everton for £75million.
Perisic's arrival is set to take their summer spending over the £150million mark.
"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 £48million asking price?
"In another development, Perisic is expected to travel to Inter's pre-season tour to China."
Perisic has scored 18 goals for Inter in 70 Serie A appearances since joining from Wolfsburg in 2015.
Source: Daily Express