Hospital staff claimed police stopped them on their way in to work - claiming their NHS ID cards were inadequate proof of essential travel.
Cambridge University Hospital Trust was forced to step in after a small number of NHS staff members were reportedly stopped by police on suspicion of 'non-essential travel.'
The trust has subsequently been in discussions with Cambridgeshire Police to seek clarification surrounding the incidents during the nationwide coronavirus lockdown.
And the police force has now had to issue a reminder to its staff of the guidelines surrounding health workers "going about their daily business".
An internal newsletter, circulated daily among staff at Addenbrooke's Hospital in Cambridge, stated on April 3 that a "small number" of staff had reported been stopped on their way in to work.

The newsletter said they had showed their NHS ID - only to be told this was "insufficient evidence" of essential travel.
But, after discussions with Cambridgeshire Police, the hospital said it now considers the matter resolved.
A CUH spokesperson said today: "Cambridgeshire Constabulary has an important role encouraging people to stay at home.
"While it is correct that a very small number of our staff were challenged, this issue was quickly resolved and we continue to welcome their efforts to support the social distancing message."

Chief Constable Nick Dean said in a statement on Sunday: "There are reports circulating on social media that officers are stopping NHS staff on their way to or from work at Addenbrooke’s hospital.
"This morning we have spoken to Addenbrooke’s and have confirmed these reports date back to early April or even prior to that.
"It is inevitable that officers going about their daily business will stop and speak to our colleagues across the health service.
"We as Cambridgeshire Constabulary have had nothing but support from right across the health sector, as every police service has experienced, right across the country.

"We are all united in our support to stop the spread of the virus and to save lives.
"NHS staff carry ID cards and that is more than sufficient to show who they are and why they are travelling - we are very clear that we support our NHS.
"We have reminded our officers of the guidelines, as we have done continually throughout this evolving situation.
"I ask that you help us in saving lives and supporting our fantastic NHS by staying at home."