And there is speculation that the legislation could be even tougher than the proposals which were voted down by the previous parliament.
The so-called sunset clause in the plans – which would have meant that minimum pricing would be introduced for a set period of time before the policy was either renewed or abandoned – is likely to be dropped, according to the Scotsman newspaper.
Health secretary Nicola Sturgeon originally wanted a 45p a unit minimum price, which would have pushed the price of an £8 bottle of vodka to almost £12.
But there has been pressure from medics to consider a minimum price of 60p a unit.
The plans are opposed by trade bodies and the opposition Labour group, and could be challenged in the European courts.