Velia was born in Jalisco, Mexico.[3] She began her career in 1999, when she started as a reporter for Channel 12.[4] Later, she joined TV Azteca, where she served as presenter of the news program Hechos Baja California. She was the host of this program from 2010 to 2018.[3] She was also a correspondent for France 24.[5] She operated a YouTube channel "Diálogos con Ana Velia Guzmán".[6]
Velia was also a professor at the Autonomous University of Baja California (UABC) and Academic Vice President of COLCOMBC.[7]
Velia died at hospital in San Diego at the age of 49.[3] She had been diagnosed with breast cancer in 2021.[7] The director of Humanities at the College of Communicologists of Baja California, Diana Merchant said she was "more than a journalist; she was a defender of freedom of expression".[8] Her funeral was held on 4 October in Tijuana.[9] Velia Guzmán is survived by her husband and son.[10]