Travis County Constable Precinct #3 Sally Hernandez said the point is to get the warrants taken care of, not to throw people in jail.
Deputies in Precinct #3 have worked to clear about 680 outstanding warrants since February 20, but there are still 9,000 to go. Most of the warrants deputies are working to clear are a result of unpaid traffic tickets - Class C misdemeanors.
"I'm sure you know this by now, but the reason we're here is he's got 4 warrants pending for his arrest," Travis County Constable Precinct #3 Deputy Janie Serna told one defendant's grandmother Saturday.
Although unpaid tickets might not sound like a big deal, it can have a large impact on the county.
"To clear up the warrants brings in the revenue for those warrants," said Hernandez.
Deputies working to track down offenders have to be prepared for anything.
"You never know when you go to a door who's going to be behind that door, whether it's for a misdemeanor warrant or a felony warrant," said Hernandez.
Saturday, deputies alerted offenders' family members that there is still time to work out a payment plan to pay off outstanding warrants and avoid jail time.
Deputies in Precinct #3 said they have been able to get 45 percent more warrants paid off than they did last year. That's in part thanks to a successful warrant round up.
Hernandez said even if someone can't pay off their warrants right away it is best to call the county office that issued the warrant to try and work something out.
The round up lasts until March 15.