The 18-year-old has signed a new contract and committed to the club until 2028.
Hinshelwood has made his big first team breakthrough under Roberto De Zerbi this term.
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Albion technical director David Weir said: Jack is a role model and his journey is an inspiring one for all the players in our academy.
His attitude on and off the pitch throughout his time at the club has been exemplary, the way he has transitioned into the first-team squad was impressive and we are all very proud of his progress.
Were it not for injury he would have no doubt played a lot more first-team games this season, but we are looking forward to him being back ready for pre-season this summer."