Musonda is viewed as one of the best young talents at Chelsea but has been unable to break into the first-team.
This season he’s made one appearance for the Blues, scoring in the 5-1 win over Nottingham Forest in the Carabao Cup last month.
Earlier this week, Musonda wrote a post on Instagram where he bemoaned the lack of first-team chances he’s had.
He said: “You sacrifice, you work hard, harder, you give more than what’s expected, and often more than you can, because you love what you do and clearly more than you should.
“And what do you get back? Literally nothing… done.”
Chelsea are understood to have reprimanded Musonda and reminded him of his responsibilities.
But the Evening Standard say Chelsea remain happy with the young Belgian and want him to continue his development.
The report says the Premier League champions are hopeful Musonda can replicate the impact Andreas Christensen has made through his gaining experience away from Stamford Bridge.
Christensen enhanced his reputation over two seasons on loan at Borussia Monchengladbach.
Chelsea decided to keep him at the club in the summer and the Denmark international has made nine first-team appearances.