A pneumatic tire (10) designed primarily for off-road use has a pair of bead regions (40), a ground-engaging tread (20), and a pair of sidewalls (30) between the bead regions (40) and the tread (20). The inner tread surface (22) between tread lugs (24, 26) and the tread edges has curvature in both the axial and circumferential directions. A series of projections (50) are integral with a sidewall (30) and are arranged in a circular pattern. Each projection (50) is axially adjacent and axially outward of a portion of the inner tread surface (22) and is interposed between tread lugs (24).