A status orange rainfall warning for Kerry, Cork, Tipperary and Waterford has passed without causing significant flooding to property.
However, Cork City Council has warned that river flooding is likely to continue for some hours, as conditions gradually ease.
David Joyce is head of operations with Cork City Council.
He told Newstalk Breakfast the rainfall has stopped, but the risk remains.
"We're not expecting flood damage at this point in time, we are expecting significant disruption to travel across the city".
"The heavy rain and the high winds have eased, but there is more rain predicted for later today.
"There is an awful lot of water [that] fell across the catchment yesterday, and this needs to wash through the system today.
"So while the weather will be significantly more benign today than yesterday, there is an awful lot of water on the ground that is running off the sodden fields and into the rivers."
He also said a number of roads, such as the Carrigrohane Straight Road, have had to be closed across the city due to flooding.
"What we have noticed in the last two to three hours is some of the levels of some of the rivers have begun to fall or have become static, so they're not rising anymore.
"So we do expect quite a number of the rivers to start falling across the day.
"But there is still so much water in the system, that the bigger rivers will continue to be in flood state for some time to come".