That's up to the CPC.
Carney said a byelection should be held as quickly as possible to give Poilievre an opportunity to win a seat in the House of Commons, if that’s what the Conservative Party wants.
Carney's message is that he's not interested in playing Parliamentary games. I'm not convinced it's a good idea, but it's an interesting move.
It's probably another move to distance himself from Trudeau's choices.