A machine to dry the fabric (1) comprises at least one heat exchanger (11) positioned in a circuit for the drying air (4), said at least one heat exchanger (11) being provided with a reservoir of water of condensation (12). The machine to dry the fabric (1) comprises a steam generator (15) introducing the steam to the inside of said circuit of drying air (4). The machine to dry the fabric (1) comprises a reserve of water of condensation inside (14) is fed with water of condensation of said reservoir of water of condensation (12) of said at least one heat exchanger (11), and the said reserve of water of condensation inside (14) is supplied with water of condensation on the one hand, a cleaning device (13) of said at least one heat exchanger (11) and, on the other hand, the steam generator (15) introducing the steam to the inside of said circuit of drying air (4). Use in particular in a machine to be dried linen domestic.
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