The Sugababes star was pulled over by police at 5.33am two weeks ago and charged with drink driving.
Berrabah later claimed that she had not had a drink in six hours and had even gone to bed in between her arrest and a night out with friends the previous evening.
"I just had no idea I would still have alcohol in my system," she told Heat. "I didn't know it was possible six hours later. I didn't know it could happen and I was caught out. I would never have driven if I'd known.
"The fact that you can still be over the legal limit several hours later should be better known to people. People need to be more aware that there's still a risk."
She went on to express her regret over the incident and said that she was looking forward to putting the matter behind her.
"When I got stopped, I was shocked," she added. "I couldn't believe it had happened. I was really ashamed of myself.
"I just feel I've let a lot of people down, and I've let myself down. I made a genuine mistake and people make mistakes every day. I put my hands up, but I just want to move on from it as quickly as possible."