NEW YORK (CBSNewYork) – After a failed push last year, New Jersey Senate President Steve Sweeney and Senator Nicholas Scutari introduced new legislation on Monday that would take a measure on public support for bringing legal weed to the Garden State.

The measure seeks voter approval of a constitutional amendment in order to legalize adult-use marijuana in the state.

READ MORE: NYPD Investigating Pair Of Deadly Shootings In Queens

The two lawmakers say the proposal will lead to the creation of a system that allows adults to purchase and use marijuana for recreational purposes in a responsible way.

They plan for the question to be on the ballot in 2020.

Eleven states and the District of Columbia have legalized recreational cannabis.

READ MORE: Police: Man Stabbed In Head With Machete After Argument At Walmart In Kearny, N.J.

New Jersey lawmakers and Democratic Gov. Phil Murphy tried earlier this year to legalize the drug with legislation, but Sweeney has said the bill failed to get enough support in the Senate.

MORE: 2 Major Hurdles Cleared As Marijuana Legalization Movement Marches On In New Jersey

A spokesman for Democratic Assembly Speaker Craig Coughlin says his chamber will also vote on the proposed amendment.

MORE NEWS: New York Weather: CBS2’s 9/25 Saturday Morning Forecast

The previous proposal called to also expunge pending charges and prior marijuana-related convictions for possession of up to 5 pounds.