Police Scotland said earlier restrictions on the flight of EC135 helicopters had been lifted and their helicopter had been cleared to fly.
A spokeswoman said: "As of 3.18pm today ... the Police Scotland Air Support Unit is now fully operational."
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Ms Leadsom has received the backing of Ian Duncan Smith, the former work and pensions secretary.
As many as 10 people have been rescued following the raid, according to a Bangladeshi official.