Leeds took a big step towards safety on Saturday as they beat Watford 3-0 at Vicarage to win for the third time in four games.
That put them nine points clear of 18th-placed Burnley and they maintained that gap on Sunday as the Clarets were beaten 2-0 by Norwich.
Burnley do have two games in hand over Leeds but will need to significantly improve this season's form to overhaul Jesse Marsch's side.
Goals from Pierre Lees-Melou and Teemu Pukki helped reinvigorate Norwich’s slim survival hopes at Carrow Road.
The Canaries were 10 points from safety before kick-off, but Lees-Melou’s early deflected strike gave Dean Smith’s men a precious lead and Pukki’s composed finish late on clinched a first Premier League victory in nine attempts.
It could be too little too late for bottom club Norwich, who remain in a perilous position but at least has kept 18th-placed Burnley within touching distance and dealt a serious blow to the visitors’ own chances of beating the drop.