Andreas Christensen is yet to start a match under Sarri at Chelsea, and is debating a move out of Stamford Bridge in the winter window.
The young Nordic centre-back was named best young player for the 'Blues' last year, in a campaign in which he also played 40 games.
According to 'The Sun', the 22-year-old English central defender is unhappy with his situation and could seek a way out of London before the end of his contract in 2022.
Thierry Henry's Monaco appear as a potential destination for the youngster. Henry needs a centre-back and has an ace up his sleeve. Michael Emenalo, former Chelsea sporting director and now based on the Côte d'Azur, knows the Danish international first hand, so a deal could be achieved more smoothly.
According to the English newspaper, Monaco's intentions would be to sign the player on loan, with an option to buy at the end of the season.