South Yorkshire Police said a number of other staff members had been asked to self-isolate after coming into contact with the officer, who it is understood was based at Shepcote Lane custody suite in Tinsley.
A spokeswoman for the force said: “On Wednesday, June 24, an officer working within one of our custody suites notified us that they had tested positive for Covid-19.
“In line with current guidance and the NHS Test and Trace, we quickly identified a small number of other staff members who, as a result of their contact with the officer, are now required to self-isolate for 14 days in line with government guidance.
“No other South Yorkshire Police staff members, prisoners or visitors, are known to have been in contact with this member of staff.
“Our staffing levels have remained incredibly strong throughout our Covid-19 response, and this reduction in officers is not expected to affect our service levels in any of our custody suites, or elsewhere across the force.
“The health of all our officers, staff and visitors remains our priority. Since the outbreak of coronavirus we have carried out extensive additional cleaning across all our sites, prioritising those, such as our custody suites, that experience a regular turnover of visitors.”
South Yorkshire Police added that the custody suite had not been closed at any point and it remained ‘business as usual’ there.