Demetriades stressed the importance of the bill being voted on and passing in Parliament.
Demetriades said he expects at least 10 percent of deposits to be withdrawn when the banks re-open.
The head of the trauma unit is a world-renowned Greek surgeon, Dr Demetrios Demetriades, known as Double D.
Mr Demetriades has refused an unofficial request to resign and take the blame for the country's financial ruin.
The rescue plan would turn Bank of Cyprus into "one of the best capitalised in the world", Mr Demetriades said.
But Mr Demetriades admitted that number could now be higher.
"We will have a program of support for Cyprus by Monday, " central bank governor Panicos Demetriades said as he left a meeting with the country's president and political party leaders.
And in a further indication of just how complicated this could become, the Cypriot Central Bank Governor Panicos Demetriades said he expected that 10% of deposits would be withdrawn when banks finally open.
Amid worries that the losses would jump to 60 per cent -- more than the 40 per cent expected -- Mr Demetriades said the 22.5 per cent frozen deposit allocation would provide a "very substantial buffer".
In an indication of how dysfunctional his relationship with the president had become in the run-up to the crisis, Mr Demetriades only found out about the country's eurozone bailout when he read about it in press reports.
The open conflict between Mr Demetriades, who was appointed last year by the now-ousted Akel communist party, and the new conservative President Nicos Anastasiades, in particular over how the bailout was implemented, has been blamed for exacerbating the uncertainty around the crisis.
As meetings among the country's political leaders, lawmakers and bankers continued for a fourth day since the bailout deal was reached, central bank Governor Panicos Demetriades warned lawmakers that prolonged uncertainty for the country's banks could lead to depositors withdrawing their money if confidence wasn't restored soon.
Mr Demetriades claimed to have an "excellent" relationship with the minister of finance and a "good" one with the president, though he stressed throughout the interview how little room for manoeuvre he had had since taking the job last May, and how sidelined he had been by a bailout process that had been dictated by politicians at home and abroad.
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