However, The 20-year-old attacking midfielder has managed just eight appearances this time around and is currently struggling with a knee problem.
Reports from Spanish paper AS, Musonda has travelled back to Chelsea to have his injury assessed.
When asked whether the deal will end in January, he said: “I understand, because it is normal a big club wants one of its assets to play.
“He is a [Chelsea] player but we’ll see what happens between now and then, and the end of campaign.”
The Belgian admitted in October that he has not spoken to Blues boss Antonio Conte.
“There’s feedback with people from Chelsea,” he said.
“I’ve never actually been in direct contact with Antonio Conte, but the club are keeping an eye on their players’ performances.
“My dream is to play in the Premier League, I’m going to continue my efforts to reach that objective.”