The invention relates to an extraction module with linear closure for the pressurized preparation of a drink from a capsule, containing a substance for extraction, comprising means for extraction with a first extraction sub-assembly and a second mobile extraction sub-assembly closing against the first sub-assembly such as to form an extraction chamber in the closed position and to provide sufficient space between the two sub-assemblies for introduction of a capsule between the sub-assemblies in the open position and comprising a means for fixing and positioning the capsule between the two sub-assemblies. Said means for fixing and positioning may be displaced in a coaxial manner with relation to the linear displacement of the mobile extraction sub-assembly and is capable of being displaced linearly by the second mobile sub-assembly in to a displaced position such as to permit a closing of the two sub-assemblies around the capsule.