Mbappe, 18, scored 26 times in all competitions for Monaco last season, helping the principality outfit land the Ligue 1 title, in addition to reaching the semi-finals of the Champions League.
Arsenal, Barcelona and Real Madrid have all been linked with the teenager, but it is understood that PSG are closing in on a world-record move for the France international.
"He always wants to score, he has a great quality of dribble, and I think PSG is a team that loves that kind of player," Silva told Canal+. "He could become a very important and very significant player for the squad. I see on TV that he has his head on his shoulders."