News corespondent Major Garrett, who was in Indianapolis this week for Donald Trump's visit, said that he was on a flight out of Indianapolis to NY with Marc Lotter, the deputy manager for Gov. Mike Pence's reelection campaign.
Though an announcement isn't planned until Friday, The Indianapolis Star, Roll Call, The New York Times and others are citing sources that strongly suggest Trump, the decidedly unconventional White House candidate, will go with a more conventional vice presidential choice.
Other top names floated for the vice presidential spot have included former House Speaker Newt Gingrich, N.J. Gov. Chris Christie and Alabama Sen.
Trump just recently left the Governor's mansion Wednesday after spending that morning with Pence and his family.
Gingrich told an ABC News correspondent earlier that he expected to hear Trump's decision after 1 p.m. EDT (1700 GMT) and would not be surprised if Trump chose Pence. Speaking to reporters after the meeting, Pence remained mum about his VP prospects.
The Wisconsin Republican says he doesn't know what Trump will do, and "I hope he makes a good pick and clearly that would be a good one". "He's a builder. He's a fighter and he's a patriot", Pence said.
Governor Pence is seeking re-election in Indiana.
One Republican close to Pence in Cleveland, the site of the Republican National Convention that starts next week, said the campaign is preparing to announce Pence, but that there was still a last minute change of heart possible.
The staunch conservative has the support of House Speaker Paul Ryan. But former Republican governor said Thursday he won't seek the job. He has also become a valuable partner for Mr Trump, joining him at events on the trail and taking on the important role of heading his transition planning.
Pence, 57, has been governor of IN since 2013.
This year, he was the target of a mocking social media campaign by women outraged at a law he signed creating new restrictions on abortions.
The New York Times and CBS were among those reporting that Mr Pence was Mr Trump's top pick. He is so well-rounded, served as a governor and I think he's a great conservative.
Trump spent Tuesday and Wednesday in IN with Pence after a campaign rally in Westfield.
Ginsburg says in a statement issued by the court on Thursday that judges should avoid commenting on a candidate for public office.