Ecclestone sustained the injury in the warm-up ahead of yesterday’s second ODI.
Scans after the match revealed the extent of the injury, which will also rule her out of the upcoming tour of Sri Lanka.
Ecclestone joins fellow spinners Laura Marsh and Kirstie Gordon on the sidelines, although it is hoped that Marsh can return in time for the Sri Lanka leg of the trip.
A replacement for Ecclestone will be announced after the third ODI, due to take place in Mumbai on Thursday.