The US Embassy told the British government the suspect in a crash which killed Harry Dunn would be leaving the UK, the foreign secretary has said.
Mr Dunn, 19, died after a collision outside RAF Croughton with a car owned by US citizen Anne Sacoolas.
Dominic Raab told the Commons his department asked for her diplomatic immunity to be waved, but the request was refused by the US.
Mr Dunn's family said the statement "added insult to injury".
Their spokesman Radd Seiger said there was an "unacceptable lack of information being provided to the family".
"There is even more anger and frustration tonight than there was before this statement was made in the House of Commons," he said.
Mr Raab said he had commissioned a review into immunity arrangements for US personnel and their families at the RAF Croughton annex in light of this case.
"As this case has demonstrated, I do not believe the current arrangements are right and the review will look at how we can make sure that the arrangements at Croughton cannot be used in this way again," he said.
Mr Dunn died from his injuries when his motorbike and a car collided outside the RAF station in Northamptonshire on 27 August.
Mrs Sacoolas' husband is reportedly stationed at the base as an intelligence officer.
At the time of the crash she had diplomatic immunity, but both the British and US governments agree that by returning to the US she had forfeited that right.
Mr Dunn's parents flew to the US to seek justice for their son last week but rejected a "bombshell" offer from Donald Trump to meet Mrs Sacoolas at the White House.
Charlotte Charles and Tim Dunn said they felt "a little ambushed" when the president revealed she was in the next room.