An intravascular blood pump may have a catheter (10) and a pumping device (1) attached to the catheter (10). The catheter (10) extends along a longitudinal axis and has a distal end (11) and a proximal end (12) opposite the distal end (11). The catheter (10) may have a tubular stiffening structure (15) extending longitudinally between the proximal end (12) and the distal end (11) of the catheter (10). The tubular stiffening structure (15) has a lumen (21) and a proximal end (17) and a closed distal end (16) opposite the proximal end (17), wherein the lumen (21) of the stiffening structure (15) is configured to receive a pressurized fluid having an over-pressure of at least 5 bar.