An override attempt on the 12-week ban will begin in the Senate on Tuesday. A simple majority is required from both chambers for an override to be successful.
The 20-week ban went into effect immediately after lawmakers voted to override Beebe's veto last week, but the 12-week ban wouldn't take effect until this summer.
Republicans, who took control of both chambers of the Arkansas Legislature this year for the first time since Reconstruction, could overcome Beebe's veto if they all vote together. The GOP holds 21 of 35 Senate seats and 51 of 100 House seats.
"It's not a surprise. Given the opportunity to save lives of unborn children, this governor has always chosen this session to say, 'No'," Sen. Jason Rapert, the Republican from Conway who proposed the 12-week ban, told reporters. "I'm disappointed for all of the unborn children that could have been saved in this bill, but I have faith that the 70 percent of the Legislature that voted to pass the bill will be there to override this veto."
The 12-week measure includes exemptions for rape, incest, the life of the mother and highly lethal fetal disorders. The 20-week measure, based on the disputed notion that fetuses can feel pain, does not include exemptions for fetal disorders.
Beebe had previously said he found the 12-week ban even more problematic than the 20-week one. He wouldn't say whether rejecting the 12-week ban was an easier decision.