The First Minister has held talks with the Scottish Green Party over the SNP-led government's new Budget Bill.
The two Green MSPs voted down the £33billion spending plans in Parliament on Wednesday, but Alex Salmond is confident that ministers will back a new bill following meetings with each opposition party in recent days.
The Greens and SNP met on Friday for an hour without reaching consensus.
Patrick Harvie, co-convener of the Greens, said: "We will continue to meet with ministers during the week to see whether improvements to the proposed Budget can be agreed in good time ahead of Wednesday's vote."
The First Minister said: "I am very confident we have a majority for this budget. But I would like to see the maximum support for the budget.
"I would like to see the Parliament - not an individual party but the Parliament - send a message to the people of Scotland that they have united behind the budget at a time of pressure."
Mr Salmond will meet Iain Gray, Holyrood's Labour leader, early next week and a revised budget package is expected to be discussed at Tuesday's meeting of the Scottish cabinet.
The First Minister claimed the mood at Holyrood had changed dramatically since the budget was rejected by a 65-64 vote.
"It would be nice to get the maximum number. I can't promise for it to be unanimous as that is not within my gift," he added.
Budget talks involving Mr Salmond, Finance secretary John Swinney and other party officials began on Thursday at Holyrood. Those talks saw Labour offer to back the budget in return for a scaled-down concession on apprenticeships.
Labour had originally sought, and was refused, a budget commitment to providing an extra 7,800 apprenticeships a year for each of the next three years.
Mr Gray said his party will now accept a commitment to introduce 7,800 apprenticeships for each of the next two years and an "indication" that this will continue for a third year.
Greens voted against the budget on the grounds that an offer of a £22million home insulation programme - later upped to a possible £33million - was not enough.
Mr Harvie has said he wants a better offer, and that the £11million extra for the insulation scheme must be new government money not already allocated to environmental projects.
Mr Harvie said: "SNP ministers must now make a concerted effort to bring forward proposals that can build broad support across the parties, and few now believe that they will again fail to respect the will of Parliament."
