Arrangement for connecting the bottom end of the pipe to a fitting

The arrangement has a connection head (16) including an upper part constituting a shoulder (30), and a lower part co-operating with an upper seat of a tubular end. An axial tightening unit includes an upper section that has a skirt (58) radially traversed by a tubular body of a pipe. The skirt delimits a support zone axially towards a height with respect to a connection zone of the shoulder.