While Bayern have the option to sign the Barcelona loanee on a permanent basis, it has been frequently suggested that the German outfit have no intention of pushing through a big-money deal.
However, at a time when Coutinho is sidelined with an ankle injury, Flick has acknowledged that he has enjoyed working with the Brazil international.
Flick is quoted by Goal as saying: "I can't say what will happen with him after the season.
"Philippe is a good guy and an excellent footballer. I really enjoy working with him. We hope he can be back with us again soon and play some games before the end of the season."
The 27-year-old has contributed nine goals and eight assists from Bundesliga and Champions League fixtures this season.