Jade Dernbach will miss the remainder of the NatWest Series because of a side strain.
The Surrey seamer injured himself in Sunday's second match of five, on home turf at The Oval.
Dernbach was due to miss Wednesday's third one-day international against Australia at Edgbaston in any case, on compassionate grounds.
He and fellow England squad member Stuart Meaker will attend the funeral of their former Surrey team-mate Tom Maynard, who died at the age of 23 in an incident on a London Tube line last month.
England have called seamer Chris Woakes in to cover the absences of Meaker and Dernbach.
First-choice fast bowler James Anderson missed England's six-wicket win at The Oval with a groin injury, and his participation in the rest of the series remains uncertain.
The England and Wales Cricket Board reported Dernbach's side strain in a press release on Monday afternoon, adding: "A rehabilitation and recovery programme will be established alongside Surrey CCC in the coming days following further medical assessment."
England plan to announce a replacement for Dernbach after Wednesday's fixture in Birmingham.