An airbag module (10) may have an inflator (42), a cushion (40), and a housing (46) that contains the inflator (42) and the cushion (40). The housing has an outer wall formed of a flexible material and a bracket designed to be attached to a vehicle. During deployment, the cushion is expelled out of the housing through the bracket. The inflator remains in the housing and inflation gas is conveyed to the cushion through the housing. The inflator may be retained by flaps wrapped around the inflator and secured to a perpendicularly oriented diffuser of the inflator. Alternatively, the diffuser may extend through an orifice formed in a fabric wall within the housing, and retention portions of the outer wall may be wrapped around the opposite side of the inflator. The airbag module may be mounted in an instrument panel to provide front seat, passenger's side impact protection without requiring a rigid module housing.