When was Travis born the doctors?

When it came to celebrating the impending birth of their son, The Doctors host Travis Stork and his wife Parris marked the occasion much differently than they had expected to.

"We did a baby shower Zoom call!" Parris, who has been wed to Travis since August of last year, tells PEOPLE of how their plans changed given the novel coronavirus (COVID-19) pandemic.

"We had an L.A. shower planned for March and that was going to be our West Coast friends and I had a Nashville shower planned too," she adds. "Obviously both of those got canceled. So it was just the two of us. But it was nice to have Travis be a part of it!"

But a change of plans did nothing to dim the couple's excitement about their new arrival: a son they'll name Grayson, due June 11. "I'm pumped to be a dad," says Travis, 48, who is also a member of the PEOPLE Health Squad and starred as The Bachelor during season 8 in 2006.

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"More than anything, I'm just really excited to meet him and am hoping for a healthy baby boy and a healthy Parris in June," he adds.

Still, Parris admits that "it's a weird time" to be pregnant. "But I feel very fortunate to be married to a doctor. He's a calming presence for me," notes the attorney and mom-to-be, 27.

What's more, the couple's new Nashville, Tennessee, home is all ready for baby. "It's very animal-themed," says Parris. "It's a bunch of woodland creatures. Blue is my favorite color."

Adds Travis, "We have a jogger, bike carrier and baby backpack all ready to go as soon as he's old enough. I'm excited for Grayson to be a part of the many adventures to come!"

RELATED VIDEO: Dr. Travis Stork Recaps the Latest Bachelor Drama and Teases His Brand-New Podcast

Stork and Parris tied the knot during an intimate Nashville ceremony on Aug. 3. For the occasion, the bride wore a romantic off-the-shoulder Rue de Seine gown, while Stork accessorized his own casual ensemble with a pair of eye-catching orange Puma sneakers.

They announced their happy pregnancy news in December alongside a series of maternity photos, where they each wore a T-shirt applicable to the occasion. For Parris, it read, "Baby Belly!" while Stork's said, "Beer Belly!"

"The Stork is dropping off a baby boy in June 2020 and we are pumped!" the dad-to-be wrote to accompany his pictures while his wife's caption began, "We have SO much to be thankful for this holiday season. Baby boy coming in hot in June 2020 and we are so excited and grateful!!"

"Here's hoping little man gets Travis's beauty, brains, temperament, and personality, combined with my raw athletic talent," she joked in conclusion.

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The stork has arrived — in more ways than one!

Travis Stork's wife Parris has given birth to their first child, a son named Grayson Lane Stork, his rep confirms to PEOPLE exclusively.

Baby Grayson arrived on Wednesday, June 17, at 1:10 a.m., weighing 8 lbs., 6 oz. He measured 22 inches long.

"We are so excited and blessed to welcome Grayson Lane into this world," Stork, 48, tells PEOPLE. "He had a bit of a rough go of it, initially requiring his first night be in the NICU, but he's doing great."

"He's sweet and peaceful and his daddy can't wait to hold him for the first time once he's out of the ICU!" he adds.

Sharing a photo of the new mom and baby to Instagram, Stork wrote of his son, "He had some trouble breathing due to meconium in his lungs so he’s still in the ICU but he's doing great! He's so very sweet and his mom was an absolute rockstar. I know everyone says when you see your first born it changes you. For me, it was seeing Grayson together with his mother. That's my family. My team. And I couldn't be more blessed!"

Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

Stork and Parris, 27, tied the knot during an intimate Nashville ceremony on Aug. 3. For the occasion, the bride wore a romantic off-the-shoulder Rue de Seine gown, while Stork accessorized his own casual ensemble with a pair of eye-catching orange Puma sneakers.

They announced their happy pregnancy news in December alongside a series of maternity photos, where they each wore a T-shirt applicable to the occasion. For Parris, it read, "Baby Belly!" while Stork's said, "Beer Belly!"

"The Stork is dropping off a baby boy in June 2020 and we are pumped!" the dad-to-be wrote to accompany his pictures while his wife's caption began, "We have SO much to be thankful for this holiday season. Baby boy coming in hot in June 2020 and we are so excited and grateful!!"

"Here's hoping little man gets Travis's beauty, brains, temperament, and personality, combined with my raw athletic talent," she joked in conclusion.

RELATED VIDEO: The Doctors: Dr. Stork's Wedding

The couple opened up to PEOPLE in early May about the pregnancy, with Parris revealing that they'd had "a baby shower Zoom call" as opposed to an in-person party amid the novel coronavirus (COVID-19) pandemic.

But a change of plans did nothing to dim the couple's excitement about their new arrival. "I'm pumped to be a dad," said Stork, who is also a member of the PEOPLE Health Squad and starred as The Bachelor in 2006.

"More than anything, I'm just really excited to meet him and am hoping for a healthy baby boy and a healthy Parris in June," he added.

And the spouses' new Nashville, Tennessee, home was all ready for baby. "It's very animal-themed," said Parris. "It's a bunch of woodland creatures. Blue is my favorite color."

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