A sling construction is provided that includes an improved support strap for more uniformly distributing the weight of the supported arm of the wearer's shoulder while preventing strap bunching and creep. The strap is preferably formed from an elastomer or a rubber that is relatively compliant yet has a low coefficient of elongation. This allows the strap to be highly supportive of the sling while also conforming to the contour of the wearer's neck and shoulders in a manner that makes the strap and sling comfortable to wear. The inner contact surface of the strap includes nubs or raised features that prevent the strap from sliding. Further, the improved strap support construction may be used in a modular fashion in conjunction with standard sling pouches or with an enhanced sling pouch in order to greatly improve the performance and appearance of the sling.