The newspaper claims that the 30-year-old wants to push for his exit at the end of the season after losing out to teammate Loris Karius in the battle for the number one position.
It is understood that the Belgium international could join German outfit Borussia Dortmund, with the Bundesliga side believed to be keen.
The report details that Liverpool may ask for just £10million to sanction his sale and that will be within reach of Dortmund.
Mignolet has made 22 appearances across all competitions this season, but has been frozen out by manager Jurgen Klopp in the second half of it and has not featured for the Reds since January.
Good move for Liverpool?
Karius has deservedly cement his position in the Liverpool starting XI and moving on Mignolet in the summer makes sense.
The Merseyside club should look to bring in a young goalkeeper to rival Karius, while Mignolet is good enough to be the number one elsewhere.
He has been prone to errors during his career and cashing in for him could be the right timing.
This Is Futbol rating: 7/10
Likely to happen?
It seems like a departure is firmly on the cards for Mignolet and he could be about to end his five-year spell with the club.
He has racked up 202 appearances in total for Liverpool, but has slipped out of favour with Klopp.
This Is Futbol rating: 6/10