According to Spanish media outlet 'Mundo Deportivo', Barcelona are tracking the 32-year-old as they search for cover at right-back.
Johnson's deal at Stoke expires at the end of the season, meaning the Potters may try to cash in on the experienced defender.
Barcelona are said to be interested in someone with experience, but also have a list of other, perhaps more believable targets.
Darijo Srna, Stephan Lichtsteiner, Pablo Zabaleta and Branislav Ivanovic have also been linked with a move to the Catalan capital.
Could you really imagine Glen Johnson at the Nou Camp?