Confirming the news to the Official Club Website, Town boss Joe Royle said: "Dean needs first-team football to take him on to the next level and he has not been getting much of that here lately.
"Oldham came in for him and we were happy for him to join them but he wasn't too keen because he didn't want to drop down a division. Now Burnley have approached us and Dean will be joining them for a month.
"He spoke to me about going out on loan a while back and I agreed that it would be a good move for him if the right club came along and we all hope he does well at Burnley and gets a few goals."