Under the latest plan, the company would hire about 25,000 employees in each city, the Wall Street Journal reported.
Amazon's HQ2 gained attention as one of the biggest corporate projects in the United States, with the e-retailer planning to hire 50,000 workers and spend $5 billion.
Speculation is also building that an announcement about which city will get HQ2 could come this month after Tuesday's midterm elections, according to the Washington Post story.
Even if Indianapolis is not chosen, Hogsett says just to be picked for the top twenty puts the city on the lists for many companies looking to locate or expand their business in North America.More news: NASA's Dawn Asteroid Mission Ends as Fuel Runs Out
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There has been recent conflicting reports on where Amazon will park it. Dallas-Fort Worth ranked No. 12. Seattle was No. 2 with 145,100. Three of the 20 finalist regions were in and around Washington, D.C., where CEO Jeff Bezos has a substantial house and owns the Washington Post newspaper.
It's unclear what phase the process is at in NY.
Housing costs and availability is another issue, the person said.
"You could look to Seattle and see that it's had great positive consequences, but it also probably has had some unintended ones that maybe aren't as well received", SunTrust Robinson Humphrey Inc. real-estate analyst Michael Lewis said. The aging NY subway system has several issues the city is working to fix.