A decision on the post-Brexit location for the European Medicines Agency (EMA) and European Banking Authority (EBA) could come by the summer.
Ireland wants to win both EU agencies, which will have to shift from London in the wake of the UK's decision to pull out of the EU.
Sources here familiar with the process have said that there is speculation that a decision could come by June.
The decision is ultimately a political one taken by the European Council.
Health Minister Simon Harris is due to bring a memo to cabinet today reiterating Ireland's push for the EMA.
Ireland is just one of a number of countries looking to win the EMA and its 900 staff, and the EBA and its near-200 staff.
Meanwhile, a report compiled following a number of interviews with border businesses and with business representative and advisory groups, has stated that firms from a range of sectors, including food and pharmaceuticals, are worried that the UK will compete postBrexit by lowering regulatory standards.
The so-called Frontline Project has also found there is clear evidence that manufacturers here are considering setting up operations within the UK. Some service companies, particularly in transport, are following suit.
Ian Talbot, chief executive of Chambers Ireland, which was involved in producing the report, said it gives a voice to businesses along the border.
"The consequences of Brexit are likely to be the greatest challenges our economy faces in the years to come. The Irish Government must prioritise economic factors within our control," he said.