South Australian Premier Jay Weatherill has vowed to push ahead with the government's controversial bank tax despite still facing an uphill battle to get it through state parliament.
The levy is included in the budget measures bill which will be put to the parliament's upper house during sittings this week after being blocked by one vote earlier this month.
"We are advocating strongly with the SA community so they can put pressure back on their members in parliament to get them to support this bill through the upper house," Mr Weatherill said on Monday.
"We hope that it will pass this week but obviously we are in the hands of those elected members."
The proposed state-based tax will apply to Australia's big banks and is expected to raise about $360 million over the next four years.
The measure is similar to the federal government's bank levy.
Opposition leader Steven Marshall has vowed to continue to block the budget measure, which has also drawn criticism from Business SA and the Australian Bankers' Association.