Previously, whether a kit was submitted for testing was left up to the law-enforcement agency investigating the crime, and many officers refrained from submitting kits for DNA testing in cases in which the victim knew the assailant's identity.
But by testing all kits, supporters say bias is eliminated, and DNA matches could lead to identifying serial rapists.
Legislative analysts figured an extra $2.4 million a year was needed to hire additional crime lab employees to keep up with the higher demand but the bill was funded at $1.2 million.
Also awaiting Herbert's signature is another measure sponsored by Romero that would make communication between sexual assault victims and campus advocates confidential, with a few exceptions.
Under HB251, advocates who have finished at least 40 hours of trauma-informed training can become a confidential advocate, meaning they can disclose information about an alleged victim's attack only in certain instances. Those would include cases when a victim gives informed, written consent; when the victim is a minor; when the disclosure is required under federal law or is sought under subpoena.
Oregon adopted a similar law in 2015. Officials there say it has increased the number of students both reporting their assaults and accessing services such as counseling.
Lawmakers killed a sexual-assault related bill last month that would have allowed universities to alert police if they know of multiple sexual assault allegations against the same student despite the victim's request for confidentiality.
Some legislators worried HB326 would deter victims from coming forward, though bill sponsor Rep. Kim Coleman, R-West Jordan, argued that the bar to inform police was high.
The measure emerged after The Salt Lake Tribune reported in July that four women who did not know one anther separately reported to police in 2015 that they allegedly were sexually assaulted by then-Utah State University student and football star Torrey Green. Three of the women were students and informed the school.
No charges were initially filed and it does not appear that USU fully investigated or sanctioned Green. He has since been charged in seven alleged attacks between November 2013 and November 2015.