Bridenstine responded "absolutely" to a question from a Twitter user who asked whether women will be included in the agency's next trip to the moon.
NASA will also have its first all-female spacewalk at the end of the month, when astronauts Anne McClain and Christina Koch will get to float around in space.
"It's likely to be a woman, the first next person on the moon".
"NASA is committed to making sure that we have a broad and diverse set of talent", he said.More news: WHO warns world against flu pandemic
The first all-women spacewalk will be happening March 29 as part of National Women's Month, Bridenstine said in the interview. Jackie Kagey will be the lead spacewalk flight controller. Today, women make up 34% of active NASA astronauts, and while that's still well short of half, it's a lot closer than it has been in the past.
NASA's Stephanie Schierholz told Space.com: 'It really is the luck of the draw.
The first six female astronauts joined NASA in 1978.
Solid rocket boosters for the Space Launch System will be stacked at NASA's Kennedy Space Center in Cape Canaveral.More news: DUP To Vote Against Amended Brexit Deal
A new $21 billion 2020 budget marks almost a six per cent increase from last year's.
So, is it time for a woman to walk on the Moon?
Bridenstine dedicated a lot of discussion to the Gateway, also called the Lunar Orbital Platform-Gateway (and formerly the Deep Space Gateway), which is a proposed moon-orbiting outpost that would serve as a waystation to the lunar surface and as a research station.
"The president has given us Space Policy Directive 1, which says to go back to the moon, and we're going to do that in short order - maybe even in 2019, but at least by 2020 - with commercial lunar payload services that are going to be funded through the Science Mission Directorate, and all of this is going to be possible because we're looking at going fast", Bridenstine said.More news: Lady Gaga Shuts Down Pregnancy Rumors & Teases New Music