An apparatus for preventing a gap between a blower housing and a connection duct is provided in laundry drier including a base forming a bottom of a body, a front cabinet forming a front side of the body, a pair of opposing lateral cabinet sides, a back cover forming a rear side of the body, a top cover installed on an upper part of the body, a filter cover installed in rear of the front cabinet, a connection duct having an entrance side connected to the filter cover, and a blower installed to be connected to an exit side of the connection duct, which blocks an ancillary air flow to prevent a degradation in drying efficiency and drier performance. The apparatus includes a pressing member provided between the front cabinet and the connection duct to push the connection duct toward the blower to make the connection duct adhere closely to the blower housing.