Only if you have recieved AOR and on WP which is set to expire within four months...
Qualifying foreign nationals currently in Canada who meet program eligibility requirements may be considered for a work permit to bridge the gap between the expiry of their current work permit and the final decision on their permanent resident application. They must have submitted an application for permanent residence under one of the following classes:
•the federal skilled worker class (FSWC);
•the Canadian experience class (CEC);
•the federal skilled trades class (FSTC);
•the caring for children class or the caring for people with high medical needs class; or
•the provincial nominee class (PNC) (with the exclusion of nominees identified by the nominating province or territory as having employment restrictions imposed as conditions of the nomination).
Qualifying foreign nationals in Canada who have received a positive eligibility decision under one of the above mentioned economic classes and are awaiting a final decision may find themselves in situations where the validity of their current temporary work permit is set to expire. An open work permit, which allows a foreign national to work for any employer in Canada, will provide these applicants with better flexibility to integrate and navigate the Canadian labour market, given that they have already been found eligible for permanent residence in an economic program and are currently working in the Canadian labour market.
For certain employer-driven streams in the PNC, the nominating province or territory may impose employment restrictions on a successful nominee until the person becomes a permanent resident. If employment restrictions are imposed, Citizenship and Immigration Canada (CIC) will not issue an open work permit to the foreign national under the bridging open work permit Labour Market Impact Assessment (LMIA) exemption.
Bridging work permit: eligibility parameters
To be eligible for a bridging work permit, foreign nationals must meet the following requirements:
•they are currently in Canada;
•they have valid status on a work permit that is due to expire in four months or less;
•they are the principal applicant on an application for permanent residence under the FSWC, the CEC, the FSTC, the PNC (see note below), or the two caregiver classes;
•they have received a positive eligibility assessment on their permanent residence application under one of the Economic Class programs above;
•they have applied for an open work permit; and
•they have paid the work permit processing fee and the Open Work Permit Holder fee.
Note: Foreign nationals in the PNP are eligible for an open work permit only if they have provided a copy of the nomination letter issued by the nominating province or territory with their application and there is no indication that employment restrictions exist as conditions of the nomination.
The following foreign nationals do not qualify for a bridging work permit:
•foreign nationals in Canada under section 186 of the Immigration and Refugee Protection Regulations (IRPR) (work permit exempt);
•foreign nationals who have let their status expire and must apply for restoration in order to return to temporary resident status;
•foreign nationals whose work permits are valid for longer than four months or who already have a new LMIA that can be used as the basis for a new work permit application;
•foreign nationals applying for a bridging work permit at the port of entry;
•spouse and dependants of the principal permanent resident applicant;
•provincial nominees who have not submitted a copy of their nomination letter with the application for a bridging work permit, or whose nomination letter specifically indicates employment restrictions.
Hope that helps
Regards