A man walked into the Vision Express, Warminster, and left with four pairs of sunglasses worth £600 without making any attempt to pay for them.
Once he left the store on Friday, July 18, just after 4pm he was seen to get into the front passenger seat of a black vehicle, believed to be a new model Fiesta which was parked outside Coffee #1.
The vehicle was later seen to turn into the Waitrose car park.
Wiltshire Police have issued a CCTV image of a man officers would like to speak to in connection with the incident.
Anyone with information is asked to contact PC Ben Agate at Trowbridge Police Station on 101, or call Crimestoppers 0800 555 111 where details may be left anonymously.