A knee airbag module comprising a housing (10) and a knee airbag is described. A first section of the knee airbag following from its first end is rolled into a first direction of rotation when the knee airbag is in its stowed state. In order to optimise the knee airbag for a mounting situation in which a gap is present between the vehicle rearward end of the housing and the lower end of the instrument panel, a second section of the knee airbag following the first section is rolled in a second direction of rotation, contrariwise to the first direction rotation, such that the stowed knee airbag comprises an at least partially rolled package comprising the first section being rolled to a first roll section (50) and the second section being rolled to a second roll section (52).