The deal will keep him at the Northern Football League until the end of November.
Burn, 27, has spent time with various clubs through the years, including loan spells with Oldham Athletic, Kilmarnock and Bristol Rovers.
He joined the National League with Darlington before eventually making a move to Whitby Town in July of 2020.
Burn appeared seven times this season for the Blues this season and will look to get more first-team minutes during his loan spell with Town.
Photo credit Whitby Town
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