Rangers assistant general manager Thad Levine said the players' association was working closely with the commissioner's office, along with Jeffress and his agent, to "determine a best course of action moving forward."
Levine said he didn't know the timeframe for a resolution.
The 28-year-old Jeffress was put on MLB's restricted list Friday. Online records for the Dallas County jail show he was booked around 5:15 a.m. Friday on a driving while intoxicated charge. He's free on a $500 bond.
Jeffress was twice suspended while in the minor leagues for violating drug rules, the last for 100 games in 2009.