On Wednesday, a member of the State Board of Elections is scheduled to pick a film canister carrying a piece of paper with the name of the victor out of a bowl.
The Simonds campaign has asked the board to delay the drawing.
Alcorn told CNN that the board is "reviewing the situation". Wheeler said she expects the court to act on Simonds' motion quickly, because "there is some urgency involved here".
Simonds said this legal challenge was necessary to protect the integrity of Virginia's electoral system.
Guatemala to move embassy in Israel to Jerusalem in Trump's wake
Several significant USA allies abstained from the United Nations vote, among them Australia, Canada, Mexico and Poland. The two nations are, along with El Salvador, in what is known as the Northern Triangle of Central America.
Simonds thought she had a one-vote victory over Delegate David Yancey after the recount, but the judges declared a tie after examining a disputed ballot and awarding it to Yancey.
Now, she's arguing that the court failed to follow state election rules after a controversial vote was counted to tie the race. The ballot wasn't counted due to the confusion over the voter's intention. The panel of judges agreed.
The ballot showed ovals for both candidates filled-in, but Simonds' bubble was then crossed out - and the rest of the ballot was filled out exclusively in favor of Republicans. Initially Yancey won by ten votes.
Virginia Department of Elections spokeswoman Andrea Gaines confirmed that the agency had postponed the lottery, as Democrats had requested. She accused Yancey, a six-year incumbent, of trying to do "an end run" around proper election procedures. But that's not what Simonds' lawyers are questioning. "The good news is we have lots of time before the seatings of candidates".
David Davis backtracks on threat to quit if Damian Green is sacked
Mr Green, 61, MP for Ashford since 1997, is the third minister in Mrs May's cabinet to resign in just two months, following the exits of Sir Michael Fallon and Priti Patel .
Now it's 51-49 in favor of Republicans.
If you want to know in real time whether Republicans will control the House of Delegates in 2018, you're in luck. The person voted for Republicans in other state elections.
Before the November 7 elections, Republicans outnumbered Democrats in the House 66-34.
Terror safe havens in Afghanistan, no such enclaves exist in Pakistan: Lodhi
Topics of common interests and China-Pakistan Economic Corridor (CPEC) project remained under discussion in the sitting. Rabbani is now in Beijing to attend a three-way meeting with his Chinese and Pakistani foreign ministers.