Liverpool are keeping an eye on the 28-year-old winger, who is valued at £35million.
Manchester United have been keeping an abreast of his situation, and Jose Mourinho fuelled talk of a summer move for Perisic when he met the player’s agent.
Chelsea are also believed to be mulling over a bid, with Antonio Conte keen to make reinforcements.
And Lovren is in no doubt Perisic would be warmly welcomed were he to move to Anfield.
Liverpool are weighing up a move for Ivan Perisic
Jose Mourinho is exploring the possibility of signing Ivan Perisic
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At Liverpool, all the players would welcome him with open arms. Obviously I do not know if it is true
“We players do not know anything about [transfers] until it happens. That's always the case,” Lovren told Croatian paper Jutarnji.
"But a player like Perisic moving to Liverpool would be great.
"He is a top quality player.
“At Liverpool, all the players would welcome him with open arms. Obviously I do not know if it is true.
"What I can say is that he has exceptional football skills, knowledge and a higher than average quality."