An arbitration hearing would be the last resort in resolving a one-year salary for each player, although the White Sox typically avoid such a procedure by coming to terms on a contract. The White Sox, along with both players, will submit salary figures by the end of the week.
Hearings for all arbitration-eligible players will be scheduled the first three weeks of February, leaving clubs and players the opportunity to work out a deal before then.
Beckham is projected to make as much as $3.1 million through arbitration for 2013 after making $520,000 last season, while De Aza is projected to make as much as $1.7 million after making $495,000 in 2012.
Salary projections are based on major-league production and service time.
The White Sox are loosely projected for a $109 million payroll in 2013, a number that includes the likely salaries for both Beckham and De Aza.