Radford, who represents the neighbouring Stoneycroft ward, said the “major flooding” incident had been affecting Prescot Road, between Fairfield and Stanley Market.
He said he was in communication with emergency services and residents affected, confirming “a number of people” were being evacuated from their homes.
He said the area was cordoned off and the Tuebrook Hope Community Centre on Snaefell Avenue was opening up to provide shelter and refreshments for those affected.
Liverpool City Council said a temporary reception centre was “now in place at Edge Lane Police Station for residents who have been evacuated”.
It advised that road closures were currently in place at the following locations: Rawlins Street; Holland Street; Green Lane; West Derby Road; Whitecroft; Elm Vale; Balmoral Road; Lily Road; Lauren Road and Holly Road.
A Merseyside Fire and Rescue Service spokesperson said they were in attendance at the incident, with crews alerted at 17:32 BST and on the scene at 17:36.
They said Merseyside Police and North West Ambulance Service were also in attendance.
North West Ambulance Service has been approached for comment.