Mourinho signed the Serbian midfielder twice - first in 2014, when the Portuguese boss was in charge at Chelsea, and then in 2017 when he brought Matic to Manchester United.
Despite having a contract that runs until 2023 at the Red Devils', Matic has announced his intentions to leave this summer (as per The Athletic). He has made 32 appearances for the club this term.
Metro have claimed that the defensive midfielder's next move is likely to be to Italy, with Juventus and Roma both reportedly interested.
While Mourinho praised the veteran player, he was coy about the chances of bringing him to the Italian capital next season.
In an interview with Sky Sports, the former Manchester United manager stated:
"I never like to speak about players, I don't think it's good for me, the club, the players."
"Everybody knows my relationship with Nemanja, he's one of the guys with my trust. We won together, we fought together in United too."
"He's a fantastic player but that's the kind of answer that is not good for me or for the player."
Former Manchester United boss Mourinho drops Roma investment hint
One thing Mourinho hasn't been well known for throughout his career is subtlety, and he has once again referenced the high investment that Roma's Serie A rivals are receiving for next season.
The 59-year-old has enjoyed a successful debut campaign at the Giallorossi, having reached the final of the Europa Conference League.
However, Roma have finished outside Serie A's top-four once again. Mourinho claims that three of the four Champions League spots have already been taken by a trio of the biggest clubs in Italy.
"We want to try and get into Champions League but when you look a the level of investment at Inter, AC Milan and Juventus, you realise three of these spots should be closed."
"There is a fourth spot, last season it was Atalanta, this season it's Napoli, can we get there next season? I think we can."
"In this second part of the season, after the January market, we did small (changes) enough to improve the squad.
"I'm not as lucky as some coaches who can buy what they want. By doing things with a criteria we can improve things. Next season after this year of work and evolution at every level I think we have a chance and that's the next target for next season."