Matthews went down in the field in the first ODI of the series last Friday in Derby, and the injury kept her out of the second match in Leicester. The hosts cruised to victory to claim the series with a match in hand.
The West Indies named a 15-player squad for the six matches on Monday, with Matthews to captain the side in what will be the first tour for new coach Shane Deitz.
The 48-year-old Deitz is a former first-class player who represented South Australia as a wicket-keeper-batter in 66 first-class matches between 1998 and 2008.