[Problem] To provide a syringe pump in which the length of a cover member when said cover member is contracted is shortened in order to achieve a reduction in size and make it possible to reduce the distance between the moving member of a syringe plunger drive section and an accommodating section when the moving member is closest to the accommodating section side. [Solution] A syringe plunger drive section (7) covers a feed screw (135). A syringe plunger pressing member (10) deforms in conjunction with movement toward the syringe main body (201) side and comprises a boot (800) as a contractible cover member. The boot (800) comprises a plurality of first convex parts (811-816) and at least one second convex part (821, 822) that is formed between two continuously formed first convex parts and two neighboring continuously formed first convex parts. The outer diameter (DG1) of a connecting part (990) that is between two continuously formed first convex parts is set to be smaller than the outer diameter (DG2) of a connecting part (995) that is between the second convex part and the first convex part.La présente invention a pour but de proposer une pompe à seringue, dans laquelle la longueur dun élément de couvercle, lorsque ledit élément de couvercle est contracté, est raccourcie de façon à obtenir une réduction de dimension et permettre de réduire la distance entre lélément mobile dune section de commande de piston de seringue et une section de logement lorsque lélément mobile est le plus proche du côté de section de logement. A cet effet, linvention concerne une section de commande de piston de seringue (7), qui recouvre une vis dalimentation (135). Un élément de pression de piston de seringue (10) se déforme conjointement avec un mouvement vers le côté du corps principal de seringue (201) et comprend une gaine (800) comme élément de couvercle pouvant être contracté. La gaine (800) comprend une pluralité de premières parties convexes (811-816) et au moins une seconde p