Met Eireann say the mercury could reach the mid 20s mark on Tuesday and Wednesday or even higher next Thursday.
While forecasters say there is still some uncertainty, early indications are for mainly dry, settled conditions next week.
Forecasters say today will be cloudy with scattered outbreaks of rain and drizzle during the morning, but mainly dry in the west.
It will dry up over the course of the day, with just isolated patches of drizzle. There will be patches of mist and hill and coastal fog also while some bright or sunny spells will develop later in parts of the west and southwest.
Highest temperatures will peak between 15 and 20 degrees.
Tonight will be mostly dry, with some clear spells, especially in the western half of the country and rain will develop on the northwest coast towards morning.
There will be some hazy sunshine at first in the midlands, east and south, with rain extending from the northwest across Ulster, Connacht and west Munster during Thursday morning and early afternoon.
It will be warm and humid in the south and east, with highs of 18 to 22 degrees, but cooler in Atlantic coastal counties, where it will be between 14 and 17 degrees Celsius
Friday will be cool, with some bright spells, but showers also, initially mainly in the north and northwest, and extending southwards during the day. Temperatures will be a relatively mild 13 to 17 degrees, in mostly moderate north or northwest winds.
There will be some bright spells on Saturday but there will also be scattered showers, mainly in the east and south with temperatures hovering around the 15 to 20 degrees mark before things pick up again.
“There is still some uncertainty, but currently Sunday is looking mainly dry, with sunny spells, but some scattered showers are still likely,” Met Eireann predicts.
“Maximum temperatures of between 15 to 22 degrees, in light northerly or variable breezes.”
Early indications for Monday to Thursday are for “mainly dry, settled conditions, with a mix of cloud and sunny spells and light winds.
“Becoming warm also, with temperatures of 15 to 22 degrees on Monday, rising to the low to mid 20s for Tuesday and Wednesday, possibly higher on Thursday", a Met Eireann spokesperson revealed.