A support tooling for porous preforms intended to be infiltrated by a molten metal includes a rack including two suspension bars each extending longitudinally along a first direction, the suspension bars being held spaced apart from one another along a second direction perpendicular to the first direction; a plurality or porous preform supports removably mounted on the suspension bars, each support including a first portion connected to one of the suspension bars by a connection sliding along a third direction perpendicular to the first and second directions and a second portion extending from the first portion and including support elements which are able to hold a porous preform by point or linear contact.