Yes, especially if the case seals are leaking since the diaphragm works by the pulse pressure of the air inside the case.
Try adjusting the needle setting too. Some can be difficult to dial in and again, leaking seals also effect this setting. You can try to keep it running by continually pressing the primer and use the other hand to adjust the needle valve or prime adjust, prime adjust, prime adjust. Trust me, this can be a common frustration.