The controlled centres would be set up by EU states on a voluntary basis.
The Telegraph has learnt that free movement of workers could also effectively continue after Brexit.
Peter Lilley, the former social security secretary, accused ministers of largely only paying lip service to years of under-investment in training.
An exclusive poll for this programme suggests Britain still wants big cuts to immigration. A majority support a cap of tens of thousands a year.
They will be given the automatic right to settle here as long as they pay £65 – about £10 less than the minimum cost of a UK passport.
Refugees run the risk of damaging the job prospects of low-skilled young men in Germany, Austria and Sweden, the OECD has warned.
The government has seen off a rebellion by Conservative MPs over Parliament's role in the Brexit process.
The migration of thousands of people across the Mediterranean is not some natural, unavoidable phenomenon.
Migration Watch said: 'The last time the student visa system was loosened in 2009 it took years to recover from the massive inflow of bogus students'
Lord Green, chairman of Migration Watch UK, said: 'In the longer term the answer has to be to train our own medics.'
The real solution surely has to be to reduce this reliance on those trained overseas and to train our own.
One smuggler described the Irish route as “a guaranteed way to get into the UK”
The former prime minister has called for tougher migration controls.
Each year around 2,000 people bypass immigration control after they are sent the wrong way.