Adams was arrested after allegedly using force to take a cellphone from an Uber driver, according to the UCLA police department. Mora would not speculate on how the long the suspension could last.
"He will not play this week against Virginia," Mora said. "As facts become available, we'll make our decisions as we go."
Adams was released from jail Tuesday morning. Bail was set for $100,000.
He is scheduled to appear in Los Angeles Superior Court on Sept. 22, according to the Los Angeles County Sheriff's Department.
Mora did not field questions about Adams, but did offer the following statement before announcing the suspension:
"As a football coach, as a parent, you hate to see young men get themselves into bad situations and one thing that I do is that I take this very seriously and I take this very personally as well. We consistently as a staff, as a university, as a support group, stress the importance of making good decisions to our young men and we talk about it on a consistent basis," Mora said. "You hope with all your heart that it sinks in, but you don't always know. And one thing that we stress is that from the very first day that they step on this campus as a member of this football program, they have the responsibility, not only to themselves, but to their teammates, to their families, to this university, to our great fans, to their student body, to represent the highest ideals and moral values.
"Unfortunately or fortunately or really just factually, these young men live in the bright eye of the media because of what they do and when they do make a mistake, it's magnified and it tarnishes their reputation and it certainly tarnishes, to some extent, the reputation of this program so we do take it very, very seriously."
Adams was a first-team All-Pac-12 selection last year.