No, that one you'll never get.
The LPC (and the CPC) quite like the current setup where they can get a majority with 30ish percent of the vote. This means they get exclusive access to the levers of power every four to eight years and have to trade off periodically, which suits them fine.
PR would mean they'd never get another majority again. It's also mean that the NDP, BQ and/or Greens could get real political power and drive legislation without their involvement, and since the Canadian electorate is generally more left wing that. It's politicians, that would mean more progressive and less business-friendly legislation.
The LPC would be effectively shut out of power as they know it, and their donors would be dealing with a Canada that looks and acts more like western Europe.
The LPC would rather FPTP, where they'd lose an election or two on knowing they'd eventually get a chance again, then see PR where they'd be shut out forever.
For the record, the CPC would have it even worse. They'd instantly lose their protofascist base to extreme right-wing and/or western nationalist parties. There's very little ideological room between the LPC and CPC if you take away the latter's playing footsie with fascism.