Dan Biggar converted all three tries and also contributed a penalty and a drop goal in the opening 40 minutes with Mat Berquist Leinster's only scorer with a penalty.
Neither side could add to their tally after the break but Webb, while addressing the second half wasn't good enough, he is adamant that will be the exception rather than the rule this season.
"We want to be an exciting team to watch, we want to score plenty of tries, and in the first half we showed that," said the scrum-half.
"The second half was a bit disappointing. It was a bit frustrating, we were in danger a few times but we managed to get the ball away.
"And to not concede a point in the second half despite the pressure we were under is a good achievement. We can be pleased withthateven if we won't be pleased with parts of the performance.
"It's been a long pre-season and it's great just to get back out on the pitch and it's a pleasing win and I think we can take a lot out of it.
"The boys are just itching to put on the jersey, the youngsters want to make their mark. We are missing a few boys at the World Cup and it's a tough act to fill their jerseys but it's a good start to the season."
63x46.png){kind=logo}