The bill would affect prescriptions written for patients in acute but short-term pain. Gov. Hickenlooper has yet to sign the measure into law.
The measure targets prescriptions for acute pain, which may be more sharp and severe but short-term. Not all doctors though are happy with the move.
Positive tests for opiates have fallen since 2012, the year marijuana was legalized in Colorado.
Methamphetamine was found in the systems of 280 Coloradans who died of overdoses in 2017, a number up sharply from the year before.
More than 90 percent of the people booked into Alamosa County Jail are either addicted to drugs or are in for drug-related charges.
The state also documented record numbers in 2017 for deaths involving opioids, fentanyl and methamphetamine.
Pueblo County commissioner Terry Hart, a Democrat, said his county has been one of the hardest hit by the state's opioid crisis.
John Hickenlooper says his mind is open to public feedback, but thinks Coloradans will agree that a winter Olympic bid would be good for the state.
In Colorado, 67 people under the age of 24 died of opioid overdoses in 2016, the most recent year for which data is available.