A fitting is provided that may optionally be pulled up to its final assembled condition by torque rather than by turns. At least one fitting component includes a structure that facilitates pull up by torque. In one embodiment, a ring is provided that may be disposed on one of the fitting components and includes an engagement surface that engages a surface on the other of the fitting components at a first axial position that corresponds to a complete pull up. The engaging surfaces increase the torque required to continue pulling up the fitting past the first axial position.