A woman has been charged over an alleged assault at a Melbourne shopping centre that left a 93-year-old woman with a broken hip and wrist.

The 38-year-old Mordialloc woman handed herself into police this morning, following an appeal for information and the release of CCTV images yesterday.

The elderly woman was in the car park of the Southland shopping centre in Cheltenham last Friday, December 16, when she was allegedly pushed over.

The great-great grandmother from Mentone must now spend Christmas in hospital, and is being treated for a broken hip and wrist.

Yesterday, Senior Sergeant Ron Klajnblat from Victoria Police said the attack was senseless and cruel, and the offender would face assault charges.

"She's done nothing to upset anyone, she's just minding her own business. It's just a totally cowardly attack," he said.

The 38-year-old was today interviewed and charged with recklessly causing serious injury.