The Denmark Under-21 international has garnered attention since his move to Glasgow from MK Dons in January 2022.
At 22 years old, O’Riley has showcased his skills with six goals and five assists in 12 Scottish Premiership appearances, along with two additional assists in the Champions League.
As a former Fulham trainee with Danish heritage, O’Riley committed to a new Celtic contract in September, set to expire in 2027.
However, offers exceeding £10 million could prompt consideration from the Scottish champions, although any potential move is more likely to occur in the summer rather than January.
Scouts from Newcastle and Leicester observed O’Riley during his Denmark U21s performance in September.
Arsenal and Manchester United have reportedly expressed interest, potentially influencing a higher transfer fee.
Liverpool and Borussia Dortmund are also contemplating a move for O’Riley, who still has four years left on his Celtic contract.
Wolfsburg and Lille have dispatched scouts to monitor his performances for Celtic.
Recently called up to the Denmark senior squad, O’Riley received praise for his season performances, including commendation from Kenny Dalglish.
Dalglish remarked on O’Riley’s maturity and improved game, expressing optimism about his potential under Brendan Rodgers.
While acknowledging the success of Celtic’s strategy to sell players for significant transfer fees, Dalglish highlighted the appeal of retaining the current team for an extended period.
He emphasized the potential for something “really special” if the team could stay together, acknowledging the influence of financial considerations in football.