Scottie Scheffler and Sam Burns have vowed to withdraw from the Masters at any point this weekend if their wives go into labour.
Scheffler's wife Meredith is not due to give birth to their first child until later this month but the world No 1 would leave at a moment's notice if needs be.
Caroline Burns, wife of USA Ryder Cup star Sam, is closer to giving birth, with her due date set for next week.
The Golf Channel reports that either player will leave immediately if they get the call that their wife is in labour.
Masters: Sam Burns and Scottie Scheffler will withdraw if their pregnant wives go into labour
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NBC says both wives have been unable to travel to Georgia for the tournament, so their husbands would have to fly home to be by their side.
Scheffler, who won the Masters in 2022, revealed his stance during the Par 3 contest on Wednesday.
He said: "I’ll be out of here! I think first child wins over quite a... over many things in my life."
The world No 1 also told ESPN: "If she calls me while I’m on the 17th, then I better go home."
Scheffler has been in sensational form on the golf course in 2024 and admits he is excited to become a father.
He told Golf Digest: "It’s going to be pretty wild. I don’t think it’s hit either of us quite yet, but it’s an exciting time for us as a family.
"It’s been a pretty exciting last seven months or so, and we’re looking forward to hopefully getting the baby out of there nice and healthy and with a healthy momma, and then we’ll go from there."
Scheffler will start the tournament as the favourite, ahead of Rory McIlroy and reigning champion Jon Rahm.
The 27-year-old's victory at Augusta two years ago remains his only major win so far.
But he has now won eight times on the PGA Tour to earn respect for his unusual swing.
Scheffler admits he was 'misunderstood' earlier in his career but people now realise he is right to do things his way.
He said: "I think when I first came out on the PGA Tour, I think my footwork was kind of how I was known to people.
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Masters: Scottie Scheffler's wife Meredith is set to give birth later this month
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"I think a lot of people maybe viewed it as not that good of a trait in my golf swing.
"I think some people may have said that it would be hard for me to be consistent, hard for me to play under pressure with that much action going on in my swing.
"I've had the same coach since I was seven years old, and he's taught me for 20 years now how to swing a golf club.
"He hadn't wanted to change it yet, so I don't think we're going to change it anytime soon.
Masters: Sam Burns' wife Caroline is due to give birth next week
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"Maybe people think I don't think about my fundamentals very much, which I do.
"It's a big part of my practice, and it's usually what I do at the beginning of my practice each day is focus on my fundamentals. So maybe that would be the most misunderstood part."