"This signals a huge step in all of our efforts to rebuild this fantastic territory."
The news comes after British Virgin Islanders said they were 'terrified' of the prisoners, who escaped because of the damage caused by Irma.
They said looting had been "terrible"and claimed escaped prisoners had committed a rape while on the loose.
Shanelle Williams, who took 15 people into her home following the fury the hurricane unleashed on the island, told the Press Association: "You go into the town, they crash and they open up and stealing everything.
"But since the military came it has calmed down, but the only issue right now is these prisoners are out.
"They have already raped someone and they have already tried to steal from people, it is terrifying."
One woman, who did not want to be named, told the Press Association she "did not feel safe" after the hurricane.
Foreign minister Sir Alan Duncan told the Commons on Tuesday that the convicts posed a "serious threat of the complete breakdown of law and order".
Meanwhile Foreign Secretary Boris Johnson visited the British Virgin Islands on Wednesday, comparing the destruction to the devastation in Hiroshima after it was hit by a nuclear bomb.
However, there was anger and frustration after it was revealed a £13billion pot of foreign aid money cannot be used to repair the islands as they are considered "too wealthy" to apply.
That is despite warnings by locals including ship captain Jonathan Moynihan, who told the Independent "without help, people are going to die."