A warming device includes a clinical garment with a flexible inflatable convective apparatus integrated with or supported on a surface of the garment for warming one or more limbs when the apparatus is inflated with warmed air. The convective apparatus includes a central member, one or more peripheral diffusers, and one or more flexible ducts. In some cases, each duct connects a diffuser with the central member. One or more inlet ports are provided in the convective apparatus to receive the end of an air hose. The central member is inflatable in response to a flow of air through an inlet port. A peripheral diffuser is positioned on the clinical garment so as to be deployable to or near to an extremity such as a limb. When a peripheral diffuser is deployed while the central member is inflated with warmed air, the warmed air flows from the central member, through a duct to the peripheral diffuser and is emitted through an air-permeable wall of the diffuser to warm the extremity.
