As per page#18
Note: The OINP requires a copy of the positive Labour Market Impact Assessment (LMIA) issued to your employer if you are currently employed or will be employed in Ontario on a work permit supported by an LMIA. The LMIA must be for the same NOC occupation as the position being offered to you.
My understanding is that, if they are applying a work permit, then LMIA is required.