Brian Ryan’s side are the defending champions and are seeking a third title since 2018.
UL booked a comfortable passage into the last eight of the Fitzgibbon Cup with a 2-24 to 1-13 win over TUS.
It’s back to back wins for the champions who are safely into the quarter finals.
Sean Twomey and Mark Rodgers grabbed UL’s goal in the second half as they pulled away from their visitors.
Robin Mounsey, who ended the contest with 1-7 of TUS’ tally had their goal, finishing past All-Ireland club winner Dean Mason with time running out.
Their Limerick rivals TUS Midwest need a win over ATU Galway next week to join them.
The writing was on the wall from early on with UL bagging the opening three scores inside as many minutes.
Cathal O’Neill was among them, as he ended with three from play.
He was joined in the scoring stakes by Colin Coughlan while Rory Duff also started for the Castletroy outfit.
Coughlan shifted into midfield late on, grabbing his second score after a customary point from wing back in the first half.
Brian Ryan’s side led 0-13 to 0-7 at the break following a rally from TUS after UL’s early blitz.
Gearoid O’Connor was scorer in chief, matching his round one tally of 0-11.
Na Piarsaigh’s Sean Long started for TUS and was impressive despite the result.
UL’s 14-point win was also achieved without the service of Limerick duo Adam English and Mark Quinlan as they continue to live up to their favourites tag.
TUS Midwest host ATU Galway next week where a win will see them into the last eight.