Lorenzo is currently a category three hurricane.
Met Éireann says it will have a better idea on the progress of Hurricane Lorenzo in the next '24 to 48 hours.'
The storm is currently tracking towards the Azores before making its way north.
It's currently a category three hurricane, but it's expected to recede to a tropical storm by the time it reaches Ireland.
Met Éireann's Deirdre Lowe said the national forecaster is keeping an eye on the storm's path.
''Various computer forecasts will become more consistent hopefully,'' she said.
''We'll be able to make a decision and issue warnings if they are required.
''It's expected to track to the Azores in the next couple of days and then its expected to track North Eastwards towards Ireland.''
"It could be a problem for Ireland on Thursday alright,'' Ms Lowe told the Irish Examiner.
"It's predicted to track to the west of Ireland, so it's not predicted to make landfall - but it still brings the risk of severe winds, possibly stormy conditions and very high seas.''
An update on Met Éireann's website reads: ''Met Éireann, the UK Met Office and the US National Hurricane Centre (NOAA) are holding daily conference discussions. The progress of Lorenzo and any potential impacts for Ireland are being closely monitored''.
Rainfall warning.
Meanwhile a status yellow rainfall warning has been issued for eight counties.
Dublin, Carlow, Kildare, Kilkenny, Wexford, Wicklow,Tipperary and Waterford can all expect 25 to 35 mm Rainfall, with a risk of spot flooding.
The warning is valid from 9am until 8pm today (Monday).