Just spotted this in Health Service Journal - sorry, can't link - you might have to register to read it.
"Exclusive: NHS trusts dismiss Brexit impact on staff retention"
"By Nick Carding 20 March 2019"
"Brexit puzzle"
"NHS trusts are not expecting disruption to services caused by EU staff leaving because of Brexit, according to analysis by HSJ."
"Indicative data (see bottom of story) obtained through the Freedom of Information Act reveals only a small number of trusts have seen a reduction in their EU workforce since the referendum, with more trusts instead reporting an increase in the number of EU nationals joining since June 2016."
"As part of preparations for a no-deal Brexit, all trusts were told to send self-assessments of the impact of a no-deal Brexit on their workforce and non-clinical goods and services."
"HSJ has obtained details of the self-assessments from around a third of all trusts, including acute, community, mental health and ambulance organisations.The trusts released the information despite an attempt by the Department of Health and Social Care to stop them from publishing the details."
"The remaining 150 or so trusts have either refused HSJ’s FOI request or not responded at all."
"Of the 72 trusts which responded with information from their self-assessments, 49 trusts said there had been no evidence of EU staff leaving because of Brexit, and that there was little or no risk of services being impacted by a potential shortfall of EU staff."
"Several of the 49 trusts reported an increase in the number of EU employees since 2016."
"These included" :
Guy’s and St Thomas’ Foundation Trust, which employed 2,068 staff in January 2019 compared to 1,615 in June 2016 (an increase of 28 per cent)
University Hospitals Birmingham FT, which reported a rise in EU nationals working at the trust from 829 (January 2016) to 1,056 (February 2019)
Oxford University Hospitals FT, which reported an 8.8 per cent increase in EU nationals employed at the trust from 1,431 in March 2016 to 1,557 in January 2019
"Western Sussex Hospitals and Brighton and Sussex University Hospitals trusts, both of which said its number of consultants, ancillary staff, and “qualified middle tier staff such as band 5 nurses” had improved since 2016."
"A number of trusts also said they employed so few EU nationals that there was no risk of services being impacted by a potential shortfall of EU staff."
These included:
"Northumberland Tyne and Wear FT, which said it has “no evidence of higher turnover among EU nationals than the rest of our workforce”, and therefore “significant workforce risks are not anticipated”
"East Midlands Ambulance Service Trust, which has “ascertained there is no perceived impact at the present time and no impact is expected when the UK leaves the EU”
"Northern Devon Healthcare Trust, which said “no specific service has been identified as unduly affected by a potential future shortfall of EU nationals”
"2gether FT and Gloucestershire Care Services Trust, which both said the impact on its workforces would be “negligible given the small numbers of EU staff employed in Gloucestershire and Herefordshire”
"Eighteen trusts only provided workforce numbers to HSJ, but did not say if there had been an increase or reduction in EU staff in the last two years."
"The government has said that all EU nationals currently working in the UK will be allowed to stay indefinitely, as long as their application for “settled or pre-settled status” is accepted by the Home Office."
"Plenty of trusts said they would pay the £65 cost per application of their staff, before the government reversed the charge."
"But five trusts nevertheless reported a reduction of EU staff in the last two years, though they could not confirm the departures were linked to Brexit"