University Hospital Coventry is a large National Health Service hospital situated in the Walsgrave on Sowe area of Coventry, West Midlands, England, 4 miles north-east of the city centre. It is part of the University Hospitals Coventry and Warwickshire NHS Trust, and is the principal hospital serving Coventry and Rugby, providing a wide range of serviā¦University Hospital Coventry is a large National Health Service hospital situated in the Walsgrave on Sowe area of Coventry, West Midlands, England, 4 miles north-east of the city centre. It is part of the University Hospitals Coventry and Warwickshire NHS Trust, and is the principal hospital serving Coventry and Rugby, providing a wide range of services. It works in partnership with the University of Warwick's Warwick Medical School. It has a large, progressive accident & emergency department providing a trauma service to Coventry and Warwickshire.