A conduit of relatively tough biocompatible material encloses a longitudinally extending fluid flow lumen and has a distal end configured as a catheter coupling hub. The conduit is encircled at the distal end of the catheter coupling hub and a portion of the conduit distal of and adjacent to the catheter coupling hub by a stabilization sleeve made of a contrastingly resilient, soft material suitable for skin contact applications. A pair of stabilization wings extends laterally on opposite sides from the stabilization sleeve at an attachment location separated from the portion of the stabilization sleeve in which the catheter coupling hub is received. As a result, a strain relief region is created. The stabilization sleeve is permanently attached to the conduit at the coupling hub only. The portion of the conduit distal of and adjacent to the catheter coupling hub extends slideably through the remainder of the length of the stabilization sleeve affording axial and bending strain relief to that portion of the conduit.