Nicole Greenaway, aged 22, was last seen leaving her home in Parson Cross at around 2am on Friday July 1 and has not been seen or heard from since.
It is thought possible that Nicole may have travelled to the London area.
She is black, around 5ft 3ins tall and of a medium build.
When she was last seen she was wearing a pink, woolly coat and was carrying a rucksack.
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Officers are becoming increasingly concerned for her welfare.
Anyone with information should call South Yorkshire Police on 101.