Between 3pm and 3.15pm on Thursday September 15, a man entered the Boots store, in High Street and took two Phillips Sonicare electric toothbrushes before leaving without paying.
The toothbrushes are valued at around £270 each.
PC Matthew Dean, of Hampshire Constabulary, said: ‘I am looking to try and identify this man so police can speak with him about this incident.
‘If anyone knows who this man is, or saw this man in the area at this time, then please contact police on 101.’
Anyone with information is asked to contact PC Dean on 101, quoting 44160365266, or call Crimestoppers anonymously on 0800 555 111.