Premier Mike Baird has left open the possibility he may support a private member's bill to decriminalise the use of cannabis for medicinal purposes, promising that the government would give it "careful consideration".

The Nationals MP for Tamworth, Kevin Anderson, has told the Northern Daily Leader he will draft a bill that would allow the terminally ill to use cannabis.

NSW Treasurer Mike Baird is said to be "sympathetic" to a private member's bill. Credit:Alex Ellinghausen

The move follows publicity around the case of one of Mr Anderson's constituents, 24-year-old Dan Haslam, who has been using cannabis to relieve nausea associated with chemotherapy to treat his terminal cancer.

Mr Anderson told the newspaper that he met with Mr Baird on Wednesday night to inform him of his proposal.