After earning Mexican MTV Award nominations for her roles in the films Sin Ton Ni Sonia and Punos Rosas, Suarez received an International Emmy Award nomination for her role as Aurelia Sosa in the HBO Latin America series Capadocia.
Early in her career, she appeared in several telenovelas, including La Casa del Naranjo and Todo por Amor.
She received an Ariel Award nomination for her role in the 2007 film Parpados Azules.
She was born and raised in Tampico, Mexico, and she later attended Illinois State University in the United States. She and fellow Mexican actor Osvaldo de Leon welcomed a son named Teo in 2010 and ended their relationship several months later.
She and American actress January Jones were both in the cast of the 2005 movie The Three Burials of Melquiades Estrada.