Tyrone sit level with Kildare and one point above Cavan after the 2-point loss in Ardee.
Canavan is heading to Australia for a month, leaving Tyrone with a tough task against Offaly on Saturday.
Canavan 'Big Loss' as Tyrone Battle Relegation
Tyrone manager Malachy O'Rourke has admitted star forward Darragh Canavan will be a 'big loss' as the Red Hands fight to avoid relegation following a defeat to Louth.