Seven Supreme Court justices will announce their findings on Wednesday after hearing argument from the Scotch Whisky Association (SWA) that minimum unit pricing (MUP) is ''disproportionate'' and illegal under European law.
A lawyer representing the SWA argued at a hearing in London in July that there were better ways to achieve the Scottish Government's aim.
Aidan O'Neill QC told the justices: "It is a political decision that pricing should be used to decrease alcohol consumption and improve public health.
''We point out that there are a whole number of ways in which pricing can legitimately be used in accordance with EU law to achieve those aims.''
Mr O'Neill said that, in principle, raising excise duty might be one way of increasing the price and achieving the same health benefits.
The fresh challenge came after the Court of Session in Edinburgh, Scotland's top civil court, rejected the SWA's appeal against the measure in October 2016.
But judges at the same court later gave the whisky body permission to take its fight all the way to the Supreme Court .
The legal wrangle over the proposals began in 2012 and has delayed implementation of a policy aimed at tackling Scotland's drink problem.
The SWA says alternative pricing measures would be less disruptive of free trade and less distortive of competition across the EU single market.
And they would have at least an equivalent level of effectiveness in achieving the aim of the Scottish Government to improve public health.
The Supreme Court has to decide whether the Alcohol (Minimum Pricing) (Scotland) Act 2012 is incompatible with European Union law and therefore unlawful under the terms of the 1998 Scotland Act.
Scottish ministers have prepared a draft order specifying a minimum price per unit of 50p, but neither the 2012 Act nor the order have been brought into force pending the outcome of the legal proceedings.
The appeal was opposed by the Lord Advocate and the Advocate General for Scotland.
Scotland's Health Secretary Shona Robison said: "Alcohol is 60% more affordable in the UK than it was in 1980 and alcohol misuse costs Scotland £3.6 billion each year - £900 for every adult.
"There is strong evidence that tackling price helps reduce consumption and related harm.
"We are looking forward to the judgment of the UK Supreme Court on Minimum Unit Pricing and, if it is the positive outcome we've worked for, we will move as quickly as is practicable to put the policy in place.
"Minimum pricing addressing price is an important element of our long-term strategy to reduce alcohol-related harm, including the quantity discount ban, a ban on irresponsible promotions, a lower drink drive limit and our nationwide alcohol brief intervention programme.
"We will also refresh our Alcohol Strategy later this year."