Nebraska lawmakers are set to resume debate this week on a measure that would ask voters to approve wagering on prerecorded horse races that are replayed on video terminals.

The debate is scheduled to continue when lawmakers return to the Capitol on Tuesday. Gambling opponents in the Legislature have mounted a filibuster to delay a vote.

Supporters say the proposed constitutional amendment would let voters decide whether “instant racing terminals” should be allowed at licensed horse racetracks. They argue that the measure would save jobs in the state’s horse-racing industry, while generating revenue for the state. Opponents view it as a form of expanded gambling.

If approved by lawmakers, the measure would appear on the 2014 general-election ballot.