Syringe pair assembly for biological fluids. Each syringe comprises a barrel, a nozzle and a plunger. A barrel holding frame holds the barrels and a plunger holder holds the plungers. A fitting with tubing frictionally holds the nozzles and links the two nozzles to the tubing. An outer membrane encloses the syringes and has one end sealed over the fitting with tubing and another closed end deployed about the syringe plungers and adapted for allowing an operator to grasp and extend the plunger ends during filling of the syringes without exposure to ambient conditions. The fitting is formed by a first fitting part and a second fitting part which are releasably connected to each other by means of a connection member. The tubing and the one end of the outer membrane are attached to the first fitting part, while the second fitting part frictionally holds the nozzles of the two syringes. The assembly further comprises an inner membrane positioned within the outer membrane, said inner membrane enclosing the two syringes and having one end sealed to the second fitting part.