The pair played well again together in midfield in the 3-1 win over Burnley last weekend.
And Fernandes insists the best is yet to come from the duo.
"My relationship with Paul since the beginning, as I met Paul already in Italy, I already know him with much, much relation but, of course, we have a good relationship," Bruno said in a fan Q&A session.
"I think, on the pitch, there is still to come the best for both of us. We can do much better together. I think we are doing better now because people and players are concerned about who they might mark – we have Paul Pogba and Bruno Fernandes in the same places, the same pockets. Sometimes it is difficult for players to find who to mark and who to give freedom and so it's good for the team. That is the best for us because we know we can help the team playing together.
"I think when you play with the best, your best comes out also. For me, playing with Paul, it's playing with one of the best players in the world. So I think the best of me comes out and it's helped me to have those kind of qualities.
"And the good thing is, out of the pitch, we have really, really good relations now with perudo, the game we all play in the team.
"It's getting better, the connections with the team, because when you have those kind of connections, it doesn't matter whether it's a game of cards, perudo now, and ludo is the one I sometimes play with Fred.
"I think it's really good for us and the team. You know, sometimes, it's just five or six of us playing but the rest of the team is watching and saying don't put that, put this or don't say that, say this. That's good for the spirit of the team and it's really good.
"I think Paul is the one of the players who has a good spirit, good moments in the dressing room. He's a really funny guy and can always have something good to say to make people laugh."