The Serbian star has been frozen out by Solskjaer since Jose Mourinho was sacked as United boss way back in December last year.
Since he has taken over, Solskjaer has allowed the likes of Alexis Sanchez, Romelu Lukaku, Marouane Fellaini, Ander Herrera and Chris Smalling to leave the club and it looks like Matic is next.
Metro quote The Telegraph in reporting that United expect to make at least one signing in the January window and Matic, who has been replaced by Fred and Scott McTominay in the United team, is open to leaving in the search of first team football.
Trending: Ole Gunnar Solskjaer ready to let Nemanja Matic leave Manchester United on one condition https://t.co/xJ2Tbp7Y5B— Man United News Now ⚽️ (@MUnitedNewsNow) November 13, 2019
The report from The Telegraph goes on to state that Solskjaer is happy to sanction Matic's departure provided he gets a new player in return.
Both AC Milan and Inter Milan are interested in Matic, whose contract expires at the end of the season.
However, the midfielder’s contract includes a clause that allows Manchester United to extend his deal by 12 months, which means that they can demand a transfer fee for the Serbia international.