The invention concerns a wobble pump base module and a wobble pump system. The invention-based wobble pump base module (40) comprises a wobble pump drive system (43), a wobble device (41), a receptacle (42) for a pump module (1) and a pretensioning device (56), wherein the pretensioning device (56) flexibly pretensions the pump module (1) housed in the receptacle (42) against the wobble device (41).