Ligue 1 side OGC Nice are reportedly considering a January bid to offer an escape route to an out-of-favour Liverpool man.
Nice are managed by former Arsenal midfielder Patrick Vieira and he is said to be unhappy with his goalkeeping options at the current time.
Mignolet, 30, has made just one appearance in the EFL Cup this season after the arrival of Brazilian Alisson for a then world-record £66.9million from Roma.
The Brazil No.1 has become an automatic starter for Klopp in the Premier League and Champions League, with Mignolet left kicking his heels on the bench.
The goalkeeper’s agent Tonci Martic meanwhile claims Mignolet almost joined Napoli in the summer, before the Serie A giants signed David Ospina from Arsenal.
More from Planet Sport: EXCLUSIVE – Greg Rusedski gives his verdict on what comes next for Roger Federer (Tennis365)
Liverpool have been linked with a potential move for Porto’s Iker Casillas to help bolster their goalkeeping options, but Diario AS suggest that MLS side Chicago Fire are considering a move.
Get the latest personalised Reds products on our new TEAMtalk Liverpool shop!