Abstract: A linear peristaltic pump of the type for removable engagement of a portion of a flexible tubing and having a plurality of sequentially actuated pumping elements which act along the engaged portion of the flexible tubing, with the pumping elements reciprocated in a first direction to collapse adjacent segments of the tubing and then in a second direction to release the adjacent segments of the tubing, each pumping element reciprocated in a sequence so that fluid in the flexible tubing is moved along the engaged portion of the tubing. The linear peristaltic pump further comprises a plurality of opposed pairs of pivotable reshaping fingers, with each pair of the reshaping fingers interposed adjacent to one of the pumping elements in sequence along the engaged portion of the flexible tubing.