Thrust reverser according to any one of the preceding claims, characterized in that in the retracted reverse thrust position of the movable structure (29), the fixed structure (31) of the reverser and an upstream end (52a) of the radially retracted inner wall (52) of the movable reverser cover allow a passage opening (56) for air to appear between them through the secondary flow path (21B), the thrust reverser also comprising sealing means (84) of the secondary flow path, designed to divert at least a portion of the secondary flow (20B) toward the passage opening (56), and in that the closing part is a closing flap (84) of the secondary flow path (21B), belonging to said closing means, or in that the closing part is an interflap part (86) for reconstituting the secondary flow path (21B), arranged circumferentially between two closing flaps (84) of said closing means.