Allocations all have an expiration date (either 48 hours or 7 days depending on the season type). When the poll expires the allocation will either approve (if there are more votes to approve) or reject the allocation (if the vote is tied or failing).
The commissioner's vote counts as an approval vote when the poll is created, so when an allocation poll is created it is already sitting at a 1-0 vote to approve.
At the very longest you would have to wait 7 days for the poll to expire, but it takes literally 10 seconds for members to click the email and approve or reject an allocation. So contacting league members to urge them to vote is the quickest way to get this done.
All voting is done via email, so in the end it takes as long as it would take for your members to check their email and click a button.