At the young age of 2,Haley Joyalready has being a big sister down to a science.

“She’s protective,” theTodayco-anchor, 54, says of Haley. “Hope was downstairs in the bassinet, in the living room, and … two people [were] coming to visit. I said to Haley, ‘Let’s go the elevator,’ because that’s our thing, running the elevator. She goes, ‘Okay,’ so we’re running downstairs.”

Hoda Kotb/Instagram

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Brian Doben

hoda kotb family

The outletshared a photoof the longtime television journalist holding her new addition, with Haley standing next to her mama and new little sister with a big smile on her face.

“It’s a girl! And her name is Hope!” Kotb could be heard saying through tears over the phone as her fellowTodaypersonalities wiped their eyes.

Hoda Kotb covers PEOPLE with daughters Hope and Haley.Brian Doben

hoda kotb

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But does Hope complete Kotb and boyfriendJoel Schiffman‘s family? The mother of two can’t say for sure, but she reveals to PEOPLE now that she would “never close a door, ever, ever,” on welcoming more children.

“When I talked to [Joel] about two, I said, ‘Hey, I want to talk to you about something.’ I said, ‘I reallyfeel like [Haley] should have a sibling… just to go through life with. It’s a long life she’s going to live.’ I want her to say, ‘That’s my brother, that’s my sister.’ ”

Schiffman’s response? As Kotb recalls, “He said, ‘What took you so long?’ ”

For more onHoda Kotb’s new life as a mom of two, pick up the latest issue ofPEOPLE, on newsstands Friday.

source: people.com