The invention relates to a method for connecting a connection section (33) of a hose (3) with a plug-in connector (4). The plug-in connector (4) comprises a connector body (6), which connector body (6) has a ring space (22). In a first method step, the connection section (33) is pushed into the ring space (22) of the plug-in connector (4) of the hose (3) from the hose accommodation side (25) of the connector body (6), and positioned there; in a second method step, a pressing tool (50) deforms the first mantle section (12) of the connector body (6). The second mantle section (15) has a narrowing (39) at a front edge (38) of the hose accommodation side (25), whereby it is ensured that the connection section (33) of the hose (3) is freely deformed in the direction of the second mantle section (15) during the pressing process, at least in the region of the ring space (22) that is at a distance from the front edge (38), before the connection section (33) of the hose (3) comes to lie against the second mantle section (15).