Reports from France suggest his season-long loan deal at Marseille might be cut short.
There is no confirmation from closer to Albion and there are reasons why a return would appear unlikely.
Marseille’s season has been thrown into turmoil by their failure to reach the knockout stages of the Champions League.
They looked well set for a play-off place before losing their last two games 3-0 to both Liverpool and Club Brugge.
Head coach Roberto De Zerbi was then reported to have offered his resignation although he denied that.
O’Riley joined OM on deadline at the end of the summer window.
After promising early signs, he has not made a huge impact at Stade Velodrome.
He was an unused sub as Marseille let slip a 2-0 lead to draw 2-2 at Paris FC yesterday.
There are obvious reasons why he might now be surplus to requirements in France but Albion would have to be convinced they had a need for him.
Albion fans will also be aware O'Riley's name regularly features in transfer rumours.
The Denmark international started the season in Fabian Hurzeler’s first XI and scored in the opening day draw with Fulham from a penalty.
But he was left out after a lightweight performance in the the subsequent 2-0 defeat at Everton and made his move to Marseille.
Having already played for two clubs, he could not be loaned out to a third whose season runs from summer to spring.
Diego Coppola was on the bench for Paris FC in the Marseille game just a couple of days after completing his loan from Albion.