The Saracens number eight suffered the injury to his left arm in Saturday's 13-3 Champions Cup win at Glasgow and will undergo surgery on Tuesday. He will have an operation tomorrow and is expected to be out of action for three months.
The Vunipola brothers, Mako and Billy, both limped off as did young lock Nick Isiekwe, who made his England debut a year ago.
The pair were injured at nearly the same time in the first half with prop Mako immediately replaced after suffering a calf problem and Billy, who hurt his knee and later his arm, continuing until after the break when he too departed, the latest setback in 18 months marked by several injuries.More news: Prince Harry and Meghan Markle touch down in Australia for royal tour
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Both Vunipola brothers - Mako and Billy were forced off with respective injuries in the game at Scotstoun.
Eddie Jones will name his squad on Thursday and injuries... Ben Morgan, unused since the 2015 Rugby World Cup, could become an option again.
Lock Joe Launchbury had knee surgery last week and winger Anthony Watson was also already ruled out of the November tests.
England face South Africa on 3 November at Twickenham Stadium in their opening fixture of the November internationals.