A senator in the Northern Marianas, Luis Crisostimo, says he supports the legalisation of marijuana in the CNMI.
He says an option is to introduce a new bill that will only allow cannabis use for medicinal purposes, should the current bill be rejected.
The House of Representatives has passed the bill but the Senate president is opposed to it.
Mr Crisostimo says at least three senators are backing him.
Last week, the Governor Benigno Fitial spoke out in favour of legalising marijuana but only for medical use.