Prime Minister John Key is not convinced minimum pricing would deter people from buying alcohol.
Labour is putting up an amendment to the Government's alcohol reform bill that would give the minister the power to set a minimum price per unit of alcohol.
Mr Key says setting a minimum price, or increasing the excise tax, may not make enough of a difference to someone buying what is now an $8 bottle of wine at the supermarket.
He says the price might be put up to $10 and that would not stop people buying it.
Mr Key says the Ministry of Justice is looking at minimum pricing and will provide advice to the Government.