"Thousands," Zachary said.
How many of them will actually use 2.5 million miles for a private jet flight?
"Honestly we have no idea. There's nobody that's done this before," Zachary said. "We hope that the aspirational aspect will actually draw people in."
For Delta, that would help to reduce its liability from accumulated miles in customers' accounts. "We want them to use those miles," Zachary said, "not just because of the financial impact but also because of the experience when people are engaged."
SkyMiles is also currently offering a promotion allowing Delta Private Jets customers to earn miles on their jet card
Delta Private Jets COO David Sneed expects the chance to redeem SkyMiles for private jet travel might even prompt some Delta American Express card holders, such as small business owners, to change their spending habits to earn more miles.
The company has recently drawn other links between Delta Private Jets, which has about 70 aircraft in its fleet, and the airline.
Many customers fly private most of the time, but might fly commercially for long overseas flights, according to Sneed. The company recently announced plans to expand its Porsche transfer service for such connecting customers, and sees the SkyMiles partnership as a way to capture market share, Sneed said.
"We don't think we'll see this duplicated anywhere else," Sneed said.