Police Clearance requirements -http://www.cic.gc.ca/english/information/security/index.asp
You may need a criminal and security check if you are coming to Canada as a live-in caregiver, tourist, student, or temporary worker. If you are applying for permanent residence, you must have one done.
Security checks, also known as police certificates, are required to determine if applicants have a criminal record. They also help visa officers make sure applicants are not a security risk to Canada.
NBI - http://www.cic.gc.ca/english/information/security/police-cert/asia-pacific/philippines.asp
Do I need to provide a police certificate when applying for permanent residence?
As you can see there is no definitive yes or no related to checks for an open work permit at this time. One could be required depending on the circumstances of your case.