The scheme in Glasgow aims to tackle drug-related deaths, the spread of infections among users and the amount of needles and injecting equipment left in public areas.
Glasgow City Mission welcomed the idea but warned it must not mean a cut in funding for services to help drug addicts kick the habit.
Chief Executive Grant Campbell told Premier's News Hour there was an urgent need for action: "There's clear evidence of needles being discarded in their hundreds, if not thousands.
"There's a real danger to the general public and I think this is a way forward for us to look at opportunities for harm reduction."
Used in some European cities, the safer consumption facility and treatment service was recommended by the Glasgow City Alcohol and Drug Partnership.
It will involve NHS staff but the location of the centre and its cost are still to be established, although advocates say analysis of other units "have demonstrated their cost effectiveness from a societal perspective".
Described as "fix rooms" or "shooting galleries" by some, the controversial plan has been considered in other UK cities but not implemented.
However, the scale of public injecting in Glasgow city centre - around 500 people - is said to "justify the introduction of a pilot safer injecting facility".
It will now be discussed by Glasgow City Integration Joint Board (GCIJB) - made up of councillors, police and health providers - at a meeting on Monday afternoon.
Campbell added: "One of the positive things about this is that it creates an opportunity of engagement with people."
He said it would provide a chance to help people who don't normally come into contact with support services.
