An airbag assembly for a motor vehicle includes an inflatable airbag and a reinforcing wrapper. The inflatable airbag has a longitudinally extending axis and is rolled about a rotation axis in the stowed condition. The reinforcing wrapper is coupled to the inflatable airbag proximate a first longitudinally extending side of the inflatable airbag, rolled about the rotation axis and wrapped entirely around at least a first portion of the inflatable airbag. The inflatable airbag and the reinforcing wrapper cooperative to define a monotonously rolled portion of the airbag assembly. In certain applications, the reinforcing wrapper is secured to a tab used to hang the inflatable airbag in the motor vehicle.