I think it will be stopped, since you should send the government a letter or make a call every twoo weeks to have the pay every two weeks. If you leave, how can you do it?
Check the Parental EI brochure, you'll find the answer. I think it'll be okay to get paid even you leave Canada, but you still have to report your absence. It's different from regular EI.
You are able to collect maternity and parental benefits while you are outside Canada. However, you must advise your local HRDC office if you go out of Canada. # _5 V: W8 e; ]. h; z$ D1 w2 Tcheck website of HRDC as following : p2 K& ~% J+ q% i. R4 @ http://www.hrdc-drhc.gc.ca/ae-ei/pubs/in201_e.shtml#Maternity5