It comes as York Teaching Hospital NHS Foundation Trust, which runs the hospital, reveled that there are currently 42 Covid positive inpatients at Scarborough Hospital.
The Trust is currently vaccinating with the Pfizer/BioNTech Covid vaccine.
Director of Workforce and Organisational Development Polly McMeekin said: “Our staff are our most valuable asset and anything we can do to ensure their health and wellbeing is our top priority.
"The Covid vaccination programme is a positive step along with other measures already implemented across the Trust that will help to keep our staff safe and well, allowing them to do what they are brilliant at - looking after patients and continuing to be there for everyone who needs care.”
The Trust says the total number of deaths of patients who have died in its hospitals and who tested positive for Covid-19 is 385.