Mignolet is now second choice behind Loris Karius, and could slip to third if Liverpool sign another goalkeeper this summer.
A club which should take a look is Premier League side Southampton, who have been linked in recent days with moving on from goalkeeper Fraser Forster.
Forster has been a regular at Southampton when fit since he signed from Celtic in 2014.
Mignolet would be a smart option for Southampton if they are in the market for a new number one, and the Belgian expressed his dissatisfaction at being a substitute in midweek.
Mignolet wants to play regularly to prolong his international ambitions, and a move away from Liverpool is looking like it's necessary.
If they can retain their Premier League status then Southampton could be well placed to offer him a starting spot if as reported, they are considering moving on from Forster.
Many players have moved from Southampton to Liverpool in recent seasons, but Mignolet could become a rarity in electing to make the opposite switch for the sake of his career.