No need to prime any good pump. That said, it would be a good idea to install but for the carb connection, and direct that tube into a coffee can so you can check the flow of the new pump before hooking it to the carb. Might save some diagnostic time later if it fails this initial test. Another point, some new pumps have been known to have springs that produce excessive fuel pressure. If you have a pressure gage, this would also be a good time to check pressure to be no more than 4 psi.