Health chiefs at Shropshire, Telford & Wrekin Clinical Commissioning Groups say people do not need to shy away from services.
People with concerns are urged to get in touch with their GP practice and continue to attend medical appointments, unless they have been told not to by a GP or healthcare professional.
GP practices can be contacted either online or by phone.
Anyone who needs urgent medical help can use the NHS 111 online service, or if you cannot get help online, call 111.
If it’s a serious life-threatening emergency, call 999.
Anyone worried about a potential cancer symptom should contact their GP practice.
Anyone who thinks themselves or a family member are suffering with the symptoms of a heart attack or stroke, must seek help immediately and dial 999.
Pregnant women should still attend antenatal appointments and contact their midwife or maternity team if they are worried about their health or the health of their unborn baby.
The NHS continues to support people with their mental health.
There is an urgent 24/7 mental health service available providing telephone support and advice by calling 0300 124 0365.
Dr Julian Povey, chair of Shropshire CCG and local GP, said: “It’s important that people continue to access NHS services for conditions that are not related to coronavirus.
"These include any serious conditions such as stroke and heart attacks, cancer patients attending ongoing treatments and expectant mothers attending regular scans.”
Dr Jo Leahy, chair of Telford and Wrekin CCG and local GP, said: “The NHS is still delivering services, but people should not just turn up to GP practices without a pre-booked appointment.
"Appointments can be booked with the GP practice either online or by phone.
"It’s also important that babies and children continue with routine vaccinations to help protect against serious and potentially deadly illnesses and stop outbreaks in the community.”