Andrew Smith scored the only try of the game, with JJ Hanrahan kicking four penalties.
Connacht are just one place behind Munster, after they won 9-6 at Treviso.
In the Pro 12 today Leinster travel to face Zebre in Italy at 3 o' clock with Ulster entertaining Glasgow Warriors from 5:05.
And Clonmel Rugby Club play host to Munster A, who kickstart their British & Irish Cup campaign with a game against Moseley from three o' clock.
