A machine for treating folded printed fabrics, comprising: a. a frame, delimiting at least one fabric treatment chamber, the latter being equipped with an inlet and an outlet for the fabric; b. a conveyor for advancing the fabric within said chamber, comprising: i. a pair of endless chains (10, 11), each chain (10, 11) having an active or advance branch extending between said inlet and said outlet; ii. a first motion structure (M3, 12, 13, 14, 15) for promoting the advance of said chains (10, 11); c. a plurality of fabric supporting rods, each rod having its ends supported by said chains (10, 11), said rods being associated with said chains (10, 11) such that they can be moved from a first position in which they are hung to said chains (10, 11) to a second position above said chains (10, 11); an overturning structure for moving the rods from said first position to said second position, said overturning structure comprising: a. a first active element, positioned in an initial tract of said active branch, characterized by said first active element moving back and forth to overturn a respective rod of said rods; b. a first actuator for acting upon said first active element for moving said first active element along a linear trajectory, such that the first active element intercepts a crank, attached to said respective rod, at a proximal end-of-travel position along the linear trajectory, and a movement towards a distal end-of-travel position causes the overturning of said respective rod, wherein movement of the first active element after it has intercepted the crank occurs in a direction opposite to an advance direction of the active branch. a. a frame, delimiting at least one fabric treatment chamber, the latter being equipped with an inlet and an outlet for the fabric; b. a conveyor for advancing the fabric within said chamber, comprising: i. a pair of endless chains (10, 11), each chain (10, 11) having an active or advance branch extending between said inlet and said outlet; ii. a first motion structure (M3, 12, 13, 14, 15) for promoting the advance of said chains (10, 11); i. a pair of endless chains (10, 11), each chain (10, 11) having an active or advance branch extending between said inlet and said outlet; ii. a first motion structure (M3, 12, 13, 14, 15) for promoting the advance of said chains (10, 11); c. a plurality of fabric supporting rods, each rod having its ends supported by said chains (10, 11), said rods being associated with said chains (10, 11) such that they can be moved from a first position in which they are hung to said chains (10, 11) to a second position above said chains (10, 11); an overturning structure for moving the rods from said first position to said second position, said overturning structure comprising: a. a first active element, positioned in an initial tract of said active branch, characterized by said first active element moving back and forth to overturn a respective rod of said rods; b. a first actuator for acting upon said first active element for moving said first active element along a linear trajectory, such that the first active element intercepts a crank, attached to said respective rod, at a proximal end-of-travel position along the linear trajectory, and a movement towards a distal end-of-travel position causes the overturning of said respective rod, wherein movement of the first active element after it has intercepted the crank occurs in a direction opposite to an advance direction of the active branch. a. a first active element, positioned in an initial tract of said active branch, characterized by said first active element moving back and forth to overturn a respective rod of said rods; b. a first actuator for acting upon said first active element for moving said first active element along a linear trajectory, such that the first active element intercepts a crank, attached to said respective rod, at a proximal end-of-travel position along the linear trajectory, and a movement towards a distal end-of-travel position causes the overturning of said respective rod, wherein movement of the first active element after it has intercepted the crank occurs in a direction opposite to an advance direction of the active branch.