However, while conceding the allure of England's top tier, the defender stressed that he is currently content playing for the Ligue 1 challengers.
"I have a contract until 2021, but the Premier league is a league that interests me and maybe one day I will come and play here."
Fabinho's father Joao revealed earlier this month that his son had been in talks with Man United, Man City, Arsenal and Barcelona.
In an interview with French television show J+1, he said: "We like Manchester United and Mourinho’s work, but we have a soft spot for Manchester City."
Fabinho will face off against one potential future employer on Tuesday when Monaco take on Pep Guardiola's faltering Man City at the Etihad.