The card was stolen after a woman accidentally dropped it in a post office in Bitterne on Friday, July 4, at around 3pm.
The card was later used to buy goods in other stores.
Officers are now appealing for information and hope to speak to the man in the image as part of their ongoing enquiries.
If you recognise this man or have any information that could help the investigation, please contact 101, quoting reference number 44250296558.
Alternatively, reports can also be made online via the Hampshire and Isle of Wight Constabulary website.
The police are urging anyone with relevant details to come forward promptly to help resolve the case.
