Flush syringe assemblies capable of creating pulsatile movement of the plunger rod as it moves in the distal direction within a syringe barrel, while preventing overpressurization of the catheter are provided. An exemplary flush syringe assembly includes a syringe barrel with a first pulsing element and a chamber with flush solution, a plunger rod with a stopper and a second pulsing element that interacts with the first pulsing element to provide an engagement force that causes pulsatile movement of the plunger rod and a thumb press slidably attached to the plunger rod with a pulse control element. The pulse control element is compressible to create a compression force that is greater than the engagement force of the first pulsing element and the second pulsing element.