Runaway teacher Jeremy Forrest is due back in the UK after going on the run with his 15-year-old pupil. The 30-year-old married amateur musician is understood to be at a French airport awaiting a flight.
Maths teacher Jeremy Forrest agreed to his extradition at a hearing in the port city on Tuesday.
His British solicitor said the "full story" of his disappearance with 15-year-old Megan Stammers to France will emerge once he has been returned to the UK.
Phil Smith of Tuckers Solicitors said Mr Forrest was "most concerned" about the impact of events on all those involved.
Megan was reunited with her family at the weekend.
After a French court agreed to Jeremy Forrest's extradition to the UK, his lawyer, Daniel Lalanne, said:
"The decision was as expected. Jeremy Forrest will be handed over to the British authorities with his agreement".
Mr Lalanne said he had no say in the logistics of his return but that it would happen "quickly".
"I cannot be more specific than that," he said.
Runaway teacher Jeremy Forrest will return to the UK after a French court agreed to his extradition.
Magistrates in Bordeaux granted the request during a short hearing this morning.
Forrest, 30, did not appear in court and was represented by his lawyer Daniel Lalanne.
The maths teacher from Ringmer, East Sussex, disappeared with 15-year-old pupil Megan Stammers on September 20 and was arrested in the south western French city last Friday.
It followed the issue of a European Arrest Warrant after the pair failed to use return Dover-Calais ferry tickets.
Mr Lalanne said after the hearing he did not know when Forrest would return to the UK but that it could be "at any moment".