Manchester United and Liverpool are both busy with their summer transfer plans having signed two players each respectively.
And it seems Lazio’s Milinkovic-Savic, who has been strongly linked with a move to Old Trafford, is already trying to upset Liverpool’s plans.
Grujic, Milinkovic-Savic’s Serbia team-mate, spent last season on loan at Cardiff.
It remains to be seen if Grujic has a future under Jurgen Klopp this term with the newly promoted side keen on re-signing the 22-year-old.
But Milinkovic-Savic hopes to see him in Serie A and his quotes suggest he may not be heading to United himself.
“I told him that if he goes to Rome, he will be fine,” Milinkovic-Savid said.
“I’ll leave the shirt and the locker directly to him? Hey, I didn’t say I’m leaving Lazio.”
Grujic has made eight substitute appearances in the Premier League for Liverpool since joining from Red Star Belgrade in a £5.1m deal in January 2016 when he became Klopp’s first signing as Reds boss.
Meanwhile, Milinkovic-Savic will now look to address his own future following Serbia’s exit from the World Cup.
The midfielder was unable to guide his country to the knockout stages but his performances have done enough to see the likes of United, Real Madrid and Juventus take notice.
“I need a little bit of rest now. I’ll return to Rome and I would be happy if I stay at Lazio, as I’m content there and I have a contract,” Milinkovic-Savic told Italian broadcaster Mediaset.
“I read something different in the papers every day, but I haven’t thought about it yet. First I’ll rest for a bit, then we’ll see.”