An improved peristaltic pump whereby the elastomeric tubing communicates with the peristaltic pump in a way that allows for axial movement of the tubing thereby extending the flex life of the pump tubing. A tubing element is fitted with a flange that allows tension to be applied to the tubing in a way that changes depending upon the location of the rotor at any given time. The tension can be applied via an elastic material located between the flange and the housing or between the housing and a device that communicates with the flange. The dynamic tension reduces the amount of stress on the tubing material when the rollers first engage the tubing on the suction side of the pump and when they depart the tubing on the discharge side of the pump. The invention is particularly useful for materials that have limited axial flexibility and for those with very large axial flexibility.