Pub representatives are planning to meet with government officials this week to discuss reopening bars sooner than the proposed date.
Bars are not due to reopen until August 10th, but industry groups are hoping it could be brought forward.
The government's roadmap for reopening the country says licenced premises can reopen in phase five - starting from August 10th under the current plans.
However, the two main trade groups have issued a number of proposals which they claim would allow many pubs to reopen in phase three - at the end of June - along with cafes and restaurants.
CEO of the Licensed Vintners Association Donal O'Keefe explained: "Clearly [social distancing] has an enormous impact on the normal operation of bars.
"Our proposals are radical and will fundamentally change how we operate."
Among the proposals bar owners have put forward would be to could limit the numbers allowed in at once, require patrons to stay in their seats and operate a table service and ban live music and DJs.
The Licensed Vintners Association says it would be up to each individual pub whether it would make financial sense to reopen with a limited capacity.
Mr O'Keefe says all his groups believes all businesses in the hospitality sector should be treated the same - suggesting that cafés, restaurants and pubs should "face the same restrictions and have the same possibility to reopen".
