A support fabric with pockets for accommodating stiffener comprises two woven layers which are joined by stitch bonding and, during production, are separated from one another in areas so that they are not joined in these areas, thereby directly defining one or more profiled pockets to accommodate stiffener inserted in the pockets after production. The pockets are incorporated inside the body of the support fabric. Each pocket has an opening for inserting one of the stiffener.
