Richard Di Natale​ is forging ahead with his bid to legalise medical marijuana and warns the Turnbull government would be foolish to stand in the way.

The Greens leader will ask the Senate to vote on his bill – co-sponsored by Liberal, Labor and crossbench senators – next month and he's calling on Prime Minister Malcolm Turnbull to get on board to ensure its success.

Senator Di Natale will personally press Mr Turnbull for his support when the pair meet in Canberra this week.

"I think there's a groundswell of support for it now and the government would have to be particularly foolish to stand in the way of getting this reform through," Senator Di Natale told Fairfax Media.