Minister for Health Simon Harris has said there is no need for patients, pharmacists or hospitals to order extra quantities of medicines due to Brexit.
Mr Harris said that there are no indications from industry that the UK's departure from the European Union will lead to medicine shortages.
He warned that to do so could disrupt existing stock levels and hamper the supply of medicines for other patients.
Speaking at a Brexit stakeholder event at his department, Mr Harris said that the situation would be vigilantly monitored.
He said patients are the highest priority and ensuring access to effective and appropriate treatments is the focus of preparations.
Mr Harris said that no medicine shortages currently affecting the Irish market are related to the UK's depature from the EU.
He said that medicine shortages are a feature of the market, regardless of Brexit.