Anderson Cooper Opens Up About Why He Chose Surrogacy — and If He's Considering Having More Kids

"I think it would be great, one day, to have a brother or sister for Wyatt," Anderson Cooper says in PEOPLE's Pride issue, on newsstands Friday

Anderson Cooper's son Wyatt Morgan is carrying on a precious family legacy.

The CNN anchor, 53, and his 6-week-old baby boy grace the cover of this week's Pride issue of PEOPLE, where Cooper opens up about becoming a dad and how his own parents — writer Wyatt Emory Cooper and heiress and fashion designer Gloria Vanderbilt — inspired him on his road to fatherhood.

"I feel like the spark of recognition between my mom and my dad that occurred had these two people who were from completely different walks of life," Cooper tells PEOPLE. "My dad grew up very poor in Mississippi; my mom, obviously, grew up the way she did."

"[So to] have them meet and fall in love and create a family of their own and have this little family of ours ... it made me really sad to think that I'm the only person left from that union [of my parents] and that I'm the only person left who remembers all those stories of my mom, my dad and my brother," explains the longtime journalist. (His father died during heart surgery when Cooper was 10, his mother died last year and his older sibling Carter died by suicide in 1988 at age 23.)

"I wanted to have a child who came from that and grew up knowing about that. That's why I chose to do it the way I did it," adds Cooper, who welcomed baby Wyatt via surrogate on April 27.

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Anderson Cooper and son Wyatt. Melanie Acevedo

The new dad reveals he has "always thought about international adoption as well," but notes that it has "come to a halt in most places." And given the public nature of his career, "I just wanted to have as much privacy as possible."

WATCH: Anderson Cooper Opens Up About Being a Dad to Baby Wyatt: 'This Is a New Level of Love'

But when it comes to another baby, the Anderson Cooper 360° star "hasn't ruled anything out down the road."

"I need to probably sleep a little bit more and clear my head, but I think it would be great, one day, to have a brother or sister for Wyatt," Cooper tells PEOPLE.

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Anderson Cooper and son Wyatt on the cover of PEOPLE's Pride issue. Melanie Acevedo

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Cooper — who is planning to raise baby Wyatt with his ex-partner, Benjamin Maisani, as a co-parent — calls surrogacy an "incredibly expensive," "difficult" and "time-consuming" process.

But at the end of the day, he couldn't be more thankful for it.

"I was incredibly lucky to be able to do this," he says. "[The surrogate] is an amazing person; her husband, too, is incredible. That she is willing to do this, to enable families who can't have a child to be able to have a child, is an extraordinary gift."

For more from Anderson Cooper, pick up this week's Pride issue of PEOPLE, on newsstands Friday.

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