Members of Pollok Community Council say they previously raised concerns about busy Barrhead Road and the connecting roundabout in Pollok, at the rear of the Silverburn Shopping Centre.
They say the road infrastructure cannot cope with the high volume of vehicles using it and say the problem has been getting worse for years.
Residents, along with councillors, are calling for a review of the road and the close proximity of a pedestrian crossing to the busy three-lane roundabout, which connects five junctions.
Carol Collins, 68, died after being hit by a black Range Rover on a pedestrian crossing in Barrhead Road at 4.45pm on Saturday.
A 67-year-old woman was also injured in the accident.
Both women were taken by ambulance to the Southern General Hospital, where Ms Collins died a short time later.
The other woman suffered injuries to her arm and is being treated in hospital.
The 42-year-old male driver of the black Range Rover, who was uninjured, stopped at the scene.
Police Scotland said inquiries into the accident are ongoing.
Chairman of Pollok Community Council, Bobby Munro, said: "The road cannot cope with the volume of traffic.
"I know people who live in the area who take the long way round to avoid this roundabout. It is three lanes wide with five different junctions.
"The pedestrian crossing is too near the roundabout. Cars coming off the roundabout don't realise it is there.
"I have seen a lot of car crashes and bumps over the years."
Mr Munro added: "We are calling for the council to take urgent action here and review this road."
Greater Pollok SNP councillor, Shabbar Jaffri, added: "The area has been developed considerably over the years.
"It is very dangerous, there is no doubt about that."
A spokesman for Glasgow City Council said: "As there is an ongoing police investigation we can't comment at this stage."