A safety syringe that effectively prevents the administration of an injection in excess of a maximum injection pressure, and that provides a clear, immediate tactile feedback to the practitioner each time a maximum injection pressure is exceeded. The practitioner is provided a predetermined number of attempts to inject fluid without exceeding the maximum injection pressure, each time receiving a direct tactile feedback in the form of a ratcheting click within the plunger assembly of the syringe. After a final attempt, the next over-pressure event causes a disconnect between the thumb plate of the syringe and the piston that engages the fluid within the syringe barrel, positively prevent a potentially harmful injection. In an illustrative embodiment, the plunger assembly includes a distal portion connected to the piston and a proximal portion, connected to the thumb plate.