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New Jersey's top lawmaker has set a new date for at least one house of the state Legislature to vote legalizing recreational marijuana in the Garden State: Oct. 29.

State Senate President Stephen Sweeney said Thursday he "can't see us not voting" on that day.

Sweeney, D-Gloucester, said in August he expected the Legislature to vote by the end of September.

But that deadline is set to pass in days, and uncertainty has clouded the issue. A bill has yet to be introduced and no committee hearings have been scheduled.

Still, Sweeney said Thursday that lawmakers and Gov. Phil Murphy's administration have only "two issues" left to work out related to the bill that would make pot legal. Sweeney said he thinks they'll be resolved soon, "hopefully tomorrow."

"At this point now, we're so far with the legislation -- we'll have the two issues we have to work out resolved," Sweeney told reporters after a state Senate voting session at the Statehouse in Trenton.

"We'll be voting on the 29th," Sweeney added.

Sweeney clarified that he expects the state Senate to vote that day.

Asked if the state Assembly -- the other house of the Legislature -- will also vote then, Sweeney said: "I can't speak for the Assembly."

Liza Acevedo, a spokeswoman for Assembly Speaker Craig Coughlin, D-Middlesex, said Coughlin declined comment.

Both the Senate and Assembly -- each of which are controlled by Democrats -- must pass a bill and then Murphy, a Democrat, has to sign it into law.

Murphy has long vowed to bring legal weed to the state, calling on the Legislature to pass a bill by the end of the year.

A top legislative source said Thursday lawmakers are close to finishing a final bill. The source asked for anonymity to speak candidly about the matter.

Sweeney would not reveal what two issues need to be resolved, although lawmakers and Murphy's administration have disagreed on what the tax rate should be.

Under the legislation currently being considered, New Jerseyans would pay perhaps the lowest marijuana tax in the U.S.: 10 percent.

But, according to published reports, Murphy believes 10 percent is too low. The governor said during a news conference last week that his administration has "not hardened a position on taxes."

NJ Advance Media staff writers Payton Guion and Susan K. Livio contributed to this report.

Brent Johnson may be reached at bjohnson@njadvancemedia.com. Follow him on Twitter @johnsb01. Find NJ.com Politics on Facebook.