A report has been published today by The Education Committee which says that the government "must provide guarantees to university staff from the EU and design a new immigration system that better meets the needs of higher education."
The report notes that the UK is in danger of losing talent (or facing 'brain drain') and that Brexit risks damaging international competitiveness.
Neil Carmichael, the chair of the committee, said: "As we leave the European Union we now have the opportunity to reform our immigration system to ensure we reap the full rewards of the ability of our universities to attract the brightest and best students and staff from across the world."
The report urges that government remove overseas students from net migration targets to show that it welcomes universal talent, as well as helping facilitate movement of "higher people from and to the nation's universities."
They could achieve this with visa-free access, closely resembling freedom of movement.