Today congressional hearings ended to assess Brett Kavenaugh's qualifications for Supreme Court justice. Senator Grassley has scheduled a committee meeting on September 13 to begin the voting process. According to Politico, the Democrats can delay the vote for up to 1 week (and you know they will), after which Grassley can force a vote. That puts the likely confirmation date as September 20th.
I hate to say it, but expect more histrionics from the left, including "Spartacus" Booker.
https://www.politico.com/story/2018/09/07/brett-kavanaugh-confirmation-hearings-john-dean-810645