Tries in either half from Keith Earls and captain Peter O' Mahony, plus 10 points from the boot of Ian Keatley sealed a 20-7 win at Kingsholm.
That win ensured that Munster will top Pool 6, as well as reaching the knockout stages.
The focus now turns to today's action, with Leinster hoping to make it a clean sweep for the Irish provinces this weekend.
Matt O' Connor's side are in France to take on Castres in a crucial Pool 1 clash.
Kick-off is at 1:45.
Second placed Northampton Saints are away to the Ospreys, also at 1.45pm.
