The target was walking to the Elizabeth line platforms at Bond Street around 10pm on July 13.
A man tried to grab her shopping bag, but she pulled it back and held on. (Image: BTP)
The man then tried to take hold of her handbag before members of the public stepped in, leaving the woman to escape with all her possessions.
Detectives have released a picture of a man they think could help with their investigation.
Anyone who recognises him is asked to contact the British Transport Police by texting 61016 or calling 0800 40 50 40, quoting reference 391 of 18 July.
Alternatively, you can contact Crimestoppers anonymously on 0800 555 111.