The attacking midfielder, 20, has started only three games since joining the Championship club in August.
But he has made nine appearances from the bench and scored a 90th-minute equaliser against Wolves in September.
Brewers manager Nigel Clough said: "He's a great lad, he's improving and getting acclimatised to the physical aspects of the Championship,"
Burton Albion have extended Will Miller's loan deal from Premier League Tottenham until the end of the season.