Woodley plays Jane Chapman on Big Little Lies, which returns June 9 on HBO. The new season features Streep as Mary Louise Wright, the mother of Celeste Wright's (Nicole Kidman) late abusive husband, Perry Wright (Alexander Skarsgard).
"Meryl's just so good. She's so good," Woodley said of Streep, a three-time Oscar winner. "It's like a masterclass in acting when you're working with her because you're trying to learn and be present at the same time."
"She's truly next level," she added.
"The first day of the second season, I had to work with Meryl Streep," the actress said. "Which is so exciting but also completely terrifying. I think I barely got out words."
"I had to literally go into another room and go, 'Calm down. She's just a person. She's just a human being,'" she added. "She's just so amazing. And she's just so self-effacing and lovely and humble."