You do not necessarily need to apply for an Open Work Permit. There are requirements to be eligible to apply. Here they are:
You may be eligible for a bridging open work permit if:
- you’re already working in Canada,
- your work permit is due to expire within four months, and
- your paper application has been found complete or has received a positive eligibility assessment under one of the following:
- Provincial Nominee Program
- Caring for Children Class
- Caring for People with High Medical Needs Class
In case if you are eligible, you can apply. But since it's not necessarily, it's your decision whether to apply or not.
thank you Alex