The talented midfielder has been scouted by several teams in England over the past few months.
Per The Chronicle, Newcastle had scouts watching O'Riley in action against St Mirren.
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There is also a suggestion that Leicester City and Leeds United are prepared to make bids for him.
Celtic are not eager to sell a player who is a vital part of their first team squad.
However, a big money offer from a top flight Premier League club would be hard to turn down.