Penrith Panthers half-back Nathan Cleary could face further NRL sanctions after additional information emerged.
Queensland's NRL teams will be permitted to cross the state border and play matches, although New Zealand Warriors's status remains in flux.
New Zealand Warriors are yet to get permission to enter Australia as the NRL looks to resume this month.
Six-time NFL Super Bowl champion Tom Brady is being used as inspiration by Brisbane Broncos, who are preparing for the NRL to return.
Amid the coronavirus pandemic, the Rugby Football League (RFL) is receiving an emergency loan from the government.
The NRL continues to work towards a May 28 resumption, but the RLPA is still seeking more information.
John Barilaro hit out at Nathan Cleary, who was sanctioned by the NRL after flouting social-distancing protocol.
The NRL is planning to resume on May 28, but Australian prime minister Scott Morrison said there was still work to do.
After NRL players broke social-distancing rules, the quartet were criticised by the premier of New South Wales.
The NRL reminded four players of responsibilities over distancing rules, while Latrell Mitch and Josh Addo-Carr were charged by police.