The midfielder has fallen down the pecking order at the club this season.
The midfielder only signed a new deal in June 2015, with his current contract running until June 2017.
He has found himself out of contention at the Britannia Stadium this season, having only managed 850 minutes of action in his 17 Premier League appearances so far.
He had featured in the cup competitions, but with the club now out of the FA Cup and the Capital One Cup this season, his game time is looking likely to be limited in the remaining Premier League games.
And his manager is willing to allow Adam to leave to get him off the wage bill reports the Mirror, potentially to open up funds for a late move for in the January transfer window.
Whether a move materialises is yet to be seen, but this latest reports could see the likes of Brighton and Wolves revive their interest after they were linked with a move earlier in the window by the Daily Star.