Police are trying to find a taxi driver accused of indecently assaulting a young woman in Sydney's inner west early this morning.

The 24-year-old woman hailed a cab in the CBD just after 1:00am and fell asleep in the back seat.

When she woke up, it is alleged the driver was next to her touching her indecently.

The woman screamed and got out of the parked taxi in Summer Hill, where nearby police found her.

Detectives want to speak to the taxi driver, who is described as being of Indian appearance, aged in his 40s, with a small build and tanned skin.

He was last seen wearing a grey long sleeve shirt and a black cap.