The former Liverpool star has struggled to make an impact in Spain since leaving Anfield 18 months ago.
Coutinho has always insisted he wants to stay and fight for his place at Barcelona.
But according to journalist Bruno Andrade, the Brazilian will soon be shipped out.
He claims Coutinho will be loaned to Bayern Munich, who will have an option to buy him outright at the end of the deal.
The Bundesliga champions will have to pay Coutinho’s €11m (£10.1m) annual salary and are now in talks with the midfielder’s representatives.
PSG remain interested in Coutinho’s signature as they prepare to lose Neymar.