On Thursday, Senate Speaker Randy McNally told reporters that the House and Senate are considering requiring people to show ID and get a name tag to enter the facility, similar to a requirement lifted last year.
Sen. Mae Beavers and Rep. Mark Pody abruptly ended their own news conference Wednesday when protesters interrupted. The event dealt with the Republican lawmakers' bathroom bill and legislation declaring marriage only between a man and a woman.
Beavers told the AP that the protest was "despicable," and suggested that the protesters should be imprisoned.
House Democratic Caucus Chairman Mike Stewart said he opposes any changes.