October 23, 2015 04:45 PM

Brian Tee‘s daughter Madelyn Skyler might only be 10 weeks old, but the actor believes she has a more mature presence.

“She’s already extremely patient,” Tee, 38, tells PEOPLE exclusively. “We feel like she is a really old soul and she’s been around the block a while, and is teaching us how to be parents.”

The Chicago Med actor describes Madelyn — nicknamed Brielly, a hybrid of his and wife Mirelly Taylor‘s names — as an “angel baby.”

“I guess every dad would imagine their daughter to be an angel baby, but I have to tell you that she’s an angel baby,” he says. “She’s definitely feisty and has her own mind, but she doesn’t necessarily cry.”

Candice C. Cusic

Madelyn is already picking her head up, and is getting too big for her newborn clothing.

“Some of her milestones are just growing out of clothes,” shares Tee. “We have this one piece of clothing, her first onesie, that she’s already grown out of, so we’re keeping it.”

Candice C. Cusic

As a first time parent, the Jurassic World star says the most surprising thing about having a baby is the amount of love he has for her.

“There’s no word to describe it,” he explains. “As soon as she was born, there was just this incredible overwhelming power of love that completely filled my existence.”

Candice C. Cusic

And even though he’s faced off against dinosaurs on-screen and is set to play villain Shredder in the upcoming Teenage Mutant Ninja Turtles 2, being a dad is his favorite role yet.

“I call it the greatest role I’ll ever have,” says Tee. “It’s definitely the most challenging, but the most rewarding.”

For more on Tee’s new life as a dad, and to see exclusive baby photos, pick up the latest issue of PEOPLE, on newsstands now.

— Gabrielle Olya

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