It's pretty sure the weak Nares ice will be cleared from the strait before next week.
But don't forget we are talking about a 500km channel here. It takes a long time for it to clear the 'old' ice. If there was a current, the cleaning out of 'old' ice would be accelerated but we are still talking at least weeks i think.
According to Windy the sea temperature in the Baffin Bay is ice destroying. Once it gets there it's done, but until then i can imagine big floes to survive in the channel. There the water is still cold at the surface.
By the end of the week, things might be in motion, but the strait will be crowded with 'old' ice still.