The 19-year-old, whose contract expires this summer, has been on the radar of the Hoops for a while now.
Harper is now reluctant to commit his future with the Baggies as Celtic Park turns out to be his next likely destination.
A youth product of the Baggies, the English youngster broke into the first- team in 2017 and was then loaned to Blackburn Rovers.
He played a big part for Albion in the recently concluded season despite losing out to Derby County in the promotion playoffs.
The England U-19 international has played for 20 matches this season and produced some eye-catching displays.
A central midfielder by position, Harper can also play as a pivot and as an attacking midfielder.
How will Harper fit in Neil Lennon’s side?
Neil Lennon, the Hoops’ new full-time manager, is currently planning for some reinforcements and finding a backup or successor for Scott Brown is on the top of his priority list.
The Hoops captain continues to defy his age and contribute to his side’s success. Yet, the primary objective is to find someone who can take the pressure off the Scottish veteran and also commit to the club’s long-term future.
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Harper certainly fits the bill and can supersede Brown at Celtic Park if the Scotsman decides to call it the time.