But it is the latest sign of the player's unrest at Celtic Park.
Riordan has made just 11 starts since arriving from Hibernian in summer 2006.
And his 11 outings this season have mainly come from the bench, his last being a six-minute cameo appearance as Aberdeen knocked Celtic out of the Scottish Cup on 18 March.
Riordan, who has still managed eight goals for the club, had hoped to leave Celtic in January, but a cash bid from Burnley and a loan offer from Hibs were rejected.
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