Skipping that step creates real risk. A buyer's lawyer will ask for proof the seller has legal authority to sell, and an offer accepted before probate is granted can stall or fall apart entirely at the conditions stage.
A lawyer handling the estate, often the same one who probates the will, can usually run both processes in parallel rather than one after the other, which is where a fee in the $800 to $1,500 range plus estate-specific work comes in.
Talking to a lawyer before listing, not after an offer arrives, is what keeps the timeline from getting stuck partway through. Get your hand-reviewed valuation from Joel Dyck.