It is not clear whether all the 100 fugitives have been taken back to prison.
The gift came as the Foreign Office confirmed that more than half a million British nationals and holiday makers were caught in the path of the mega-storm last week.
The hurricane passed over the British territories of Anguilla, Montserrat and the British Virgin Islands on Wednesday night, and the United Kingdom islands of Turks and Caicos on Thursday evening.
"Mounts Bay was not there by chance". Five people died and severe damage occurred on multiple islands.
He said: "We felt the full force of the strongest hurricane ever in the Atlantic Ocean".
View of damages in Havana's Cojimar neighborhood on September 10, 2017, after the passage of Hurricane Irma.
The Daily Telegraph said notes from a cabinet meeting that were leaked to the press on Tuesday suggested as many as 60 had yet to be recaptured.
"We are working with St. Lucia and BVI authorities to secure the transfer to St. Lucia of 40 high-risk prisoners that have escaped in BVT", the notes read.
His trip comes after the United Kingdom government was criticised for its perceived slow and inadequate response to help affected communities in its overseas territories. Others said Dutch and French governments, who also have Caribbean territories, prepared more adequately for the storm.
The partner of Briton Claudia Knight, who is stranded on the island of Tortola, carries a knife for protection as "everyone's turned feral".
Gibraltarian Chief Minister, Fabian Picardo said today: "Anybody who is in any doubt as to the continued strategic importance of Gibraltar only needs to look to the huge contribution Gibraltar is making, at nearly no notice, to the worldwide humanitarian relief effort for the Caribbean".
There are a lot of ways to measure the strength of Hurricane Irma, including its viciously fast wind speeds, the multiple people it killed and the millions more left without power or with damaged houses.
A C17, Voyager and A400M aircraft carried over 200 Royal Marines, as well as engineers and specialist personnel from all 3 Services. Knight claimed he was armed with a knife to combat potential looters.
But Foreign Secretary Boris Johnson insisted that Britain was responding strongly to an "unprecedented catastrophe".