WEXFORD are next up for the senior Dubs. They'll host them at the end of the month in the semi-final of the Leinster Championship, a separate competition from the All-Ireland series.
Dublin's All-Ireland journey begins at home to Offaly on June 22. Then in July they are away to Cork before welcoming Tipperary.
"The Wexford game will be the start of our championship preparation," says Dubs manager Denis Murphy (pictured). "We'll want to perform well in that game. At this time of the year it's a nice fixture to have.
"But we have to be looking at the bigger picture. Our focus from here on in has to be on the All-Ireland Championship."
Dublin come into the summer with one win and two defeats in the league. They beat Wexford in O'Toole Park where they then lost to Galway. They fell to Clare in their opening match away from home.
"Against Wexford, we didn't play well in the first half. But then, against the breeze, we produced a mighty 30 minutes," recalls Denis.
"Our aim now is to put a 60-minute performance together. That's the trick. We need to be more consistent.
"In the first half against Clare, we played very well but then we disappeared for 20 minutes after half-time. That has been a bit of a feature with us this year.
"Last year, Galway beat us by a big score. At least this time we were able to compete with them. But we need to be doing more than that. We need to be thinking about beating the likes of Galway.
"But we are making progress. We are learning all the time, players and management. It's all about trying to come out on the right side in tight matches. And, hopefully, we can do well in our first round against Offaly."