A warming device (12) comprises a clinical garment (13) with an inside surface (52) and a convective apparatus (65,75) supported on the inside surface, in which the convective apparatus includes at least two separately inflatable sections (67,68 77,78) and a permeable surface facing the interior of the clinical garment, wherein a comb-shaped first section (67) includes teeth oriented generally transversely across the inside surface (52) and at least one inlet port (69). A comb-shaped second section (68) includes an upper part that extends between and at least partially into the sleeves (22), a lower section with teeth oriented generally transversely across the inside surface (52) and interleaved with the teeth of the first section (67), and at least one inlet port (70).