The striker will join the Academy on a scholarship contract due to his age but would be eligible to sign a professional contract on his 17th birthday.
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Musialowski recently appeared to change his social media profile on Instagram to include a photo of himself at Kirkby Academy and add Liverpool Football Club to his bio.
After posting a picture of him on vacation earlier this month, Musialowski was inundated with responses from Liverpool fans.
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It had been reported that the striker was followed by talent watchers from top clubs in Europe.