The City striker has returned home and will be monitored regularly with a view to returning to camp as soon as possible.
A replacement will not be called up, leaving Sarina Wiegman with a 22-player squad for the fixture against the Netherlands at Elland Road on Friday 24 June.
The Lionesses face the reigning Euros Champions in a friendly in preparation for this summer's eagerly-awaited tournament on home soil.
White is three goals shy of Wayne Rooney's England goalscoring record, having become the top-scoring female for her country last November.
Everyone at the Club would like to wish Ellen a speedy recovery.