The 17 year-old has played for Poland and England at youth level and made two senior substitute appearances for Rovers last season.
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The Sun says Arsenal are seeking to open talks with Rovers for the teen and are willing to pay £1m to take him to London.
Tyjon has already turned down an approach from Manchester United a year ago.
However, it's suggested he could be more tempted by the Arsenal option, though Rovers will demand go higher than their planned opening bid.