It is not clear if the move will be discussed when ministers meet later today to review lockdown restrictions.
Theatres have effectively been closed since the pandemic began in March 2020.
Hugging of loved ones and the resumption of international travel are also expected to be discussed by ministers.
Theatres were allowed to resume rehearsals last summer, but were never allowed to welcome back audiences.
It is not clear if it will extend to live music venues, or what mitigations theatres will need to put in place.
The proposal will also need to be signed off by the Executive and it is believed it would need to be ratified, depending on public health advice nearer the time.
In the North of reland, indoor hospitality is due to reopen on the indicative date of Monday, May 24.
All retail, outdoor hospitality and self-contained tourist accommodation have already reopened.
Glyn Roberts, Retail NI chief executive, said that it was “vital” for the NI Executive to give the “green light” on Thursday for the reopening of hospitality.
“The reality is that we are operating on the basis of half a high street, because retail and hospitality are symbiotically linked.
“We can’t really operate a successful high street without our friends in hospitality being able to reopen.”Tags: