Emergency services were called to Latimer Road on Tuesday lunchtime (December 11) after a crash.
The incident involved two cars and a pedestrian.
Police and ambulance services were called at around 12.43pm to reports a car had collided with a pedestrian.
A woman from one of the cars and a woman pedestrian were both taken to hospital with minor injuries.
Police had to close Latimer Road at the junction with Beamsley Road for about an hour.
Police are now appealing for witnesses to the crash. They would like to speak to anyone who saw the incident, especially a lorry driver, who they believe may have been in the area at the time.
Anyone with information is asked to contact police on 101, quoting serial 0591 of December 11.
It was a busy time for emergency services in Eastbourne on Tuesday lunchtime, as this incident happened just two minutes before police and ambulance crews had to deal with a major crash in the town centre, outside Eastbourne railway station. Both incidents were being dealt with at the same time. See page @@ for details on the town centre crash.