'KT' is coming off a comfortable victory over mandatory challenger Karen Carabajal at The SSE Arena in London.
This was her second bout of 2022 as earlier this year she headlined at Madison Square Garden in a thrilling fight-of-the-year contender against Amanda Serrano.
Taylor edged out Serrano to win via split decision. There is a clamour for a rematch after how entertaining their first clash was.
Hearn - Taylor's promoter - has insisted that Croke Park "is the one" they want for her next bout.
"April or May, it will be Katie's next fight," Hearn told IFL TV.
"This is a must for us, and we have to deliver it for Katie.
"Our focus is a million per cent on going to Croke Park, we do need support and we need the Irish government's support as well. Not in terms of allowing it to happen but it's very expensive to go into Croke Park and put a fight on.
"We have other opportunities in Ireland with different stadiums.
"For me, Croke Park is the one, it's historic, but we can go to the rugby stadium or other places."
It is now 50 years since a boxing event was held at Croke Park, an 82,300-capacity stadium that generally hosts the GAA.
Muhammad Ali was there the last time around as he battled Al 'Blue' Lewis in July 1972.
Hearn wants to make the Taylor-Serrano rematch but he suggests that a fight against new undisputed light-welterweight champion Chantelle Cameron is also possible.
"The focus for us is on Amanda Serrano," Hearn added.
"We developed that tournament to give Chantelle an opportunity to become undisputed and the reason we did that is to build up the Katie Taylor fight and give Chantelle the profile that she now has.
"There are massive nights out there for Chantelle Cameron, she owns every belt out there in the 140lb division.
"A fight between Katie Taylor and Chantelle Cameron is two undisputed. I will say our focus is on Amanda Serrano."