Abstract: The present invention relates to a machine for preparing coffee infusions by means of a liquid under pressure, in particular water under pressure, the machine comprising: a pump assembly (11) arranged to raise the pressure of the liquid outgoing from the pump assembly up to a preset pressure value (PI); one or more dispensing units (14) connected to the pump assembly, each dispensing unit (14) being arranged to dispense the coffee infusion; one or more pressure managing devices (20), each managing device (20) being connected to a certain dispensing unit (14). In the machine (10), the pressure managing device (20) includes a first duct (15) and at least one second duct (16) that are connected in parallel, have a common outlet and are arranged to supply the dispensing unit (14), during the coffee infusion preparation, with liquid at different pressures.