The UK and the US have agreed to amend an “anomaly” that allowed Harry Dunn death suspect Anne Sacoolas to claim diplomatic immunity.
Mrs Sacoolas – the wife of a diplomat at RAF Croughton, Northamptonshire – was able to leave the UK thanks to the “secret agreement”.
She has been accused of killing the 19-year-old motorcyclist in a crash near the base last August.
Mr Dunn’s mother said the change was a “huge step in the right direction”.
Charlotte Charles told the BBC: “We now need Dominic Raab to work with us to make sure that we get her back to the UK to face justice at some point soon.”
The foreign secretary has said relatives of US staff at the air base can face prosecution under the amended rules where they may previously have been immune.
Mr Raab said the new arrangements had “closed the anomaly that led to the denial of justice in the heartbreaking case of Harry Dunn”.
He said he appreciated the changes “won’t bring Harry back” but hoped they may “bring some small measure of comfort” to his family.
Ms Charles vowed to continue the family’s campaign to put Mrs Sacoolas before a UK court.
“We always live with hope that one day she might just decide of her own accord to put herself on a plane and come back over here”, she said.
“We definitely will keep the pressure up”, she said.
Ms Charles said she wanted Mrs Sacoolas to “see what her own country has agreed to with the anomaly they’ve now amended”.
Northamptonshire Police said it understood the changes would not be retrospective but welcomed the move.
The US State Department said the amendment was a “reflection of our especially close relationship” with the UK.
Northamptonshire Police said it would continue working with British prosecutors to ensure Mrs Sacoolas was returned from the US to face court proceedings.
Mrs Sacoolas, 42, was charged with causing death by dangerous driving in December.
A Home Office extradition request was refused by US secretary of state Mike Pompeo in January, and American officials said the decision was final.
It is believed Mrs Sacoolas was driving on the wrong side of the road when Mr Dunn was killed.
There have been reports of other vehicles spotted driving on the wrong side of the road near the base, including one which was shown in a YouTube video in February.