The present invention relates to an intravenous infusion pump system (100), comprising a pump (101) which is designed to pump the fluid or blood through the fluid or blood conduit (110a, 110b) at a flow rate of at least 1 litre per hour, and comprising a processor (102) which is adapted to control said pump (101) to operate in three possible configurations, wherein either the fluid or blood is administered to the patient at a maximum flow rate of the pump (101), either a bolus volume (BOL VOL) of fluid or blood has to be administered to the patient in a time interval (TIME), both the bolus volume (BOL VOL) and the time interval (TIME) being set by the operator via said user interface (103) either a bolus volume (BOL VOL) of fluid or blood is administered to the patient with respect for a maximum infusion pressure (PMAX), both the bolus volume (BOL VOL) and the maximum infusion pressure (PMAX) being set by the operator via said user interface (103), wherein the flow rate of the pump (101) is raised until the set maximum infusion pressure (PMAX) is reached, whereafter the flow rate of the pump (101) is fine-tuned under the control of said processor (102) in function of the pressure sensed by said pressure sensor (104).