The Clarets have allowed the Northern Ireland international, 24, to move to the League One club for the chance of regular first-team football.
Clarets' goalkeeping coach Billy Mercer – who previously filled a similar role at Wednesday – told the club's website: “It's a great opportunity for him to go and play a lot of games at probably the biggest club in that league who be looking to challenge for promotion.
“Having brought Wayne in to complement the group we already had we have plenty of cover, so we felt it was the right club at the right time for him to go and play some games.
“Hopefully he will get as many games as possible and come back and be pushing for the number-one spot."
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