The money is part of the 2016 budget, which was signed in May by President Muhammadu Buhari.
Speaking at a business forum, Osinbajo said the introduction of a more flexible foreign currency regime in June had eased pressure on foreign reserves, without giving details.
The naira has lost some 40 percent since then.
His statement comes as the country tries to inject life into its economy facing recession.
Africa’s largest economy is in the middle of its worst crisis in decades, as a slump in oil revenues hammers public finances and the naira.
Gross domestic product shrank 0.36 percent in the first quarter and the central bank governor has said recession is likely.
Osinbajo also said many of Nigeria’s 36 federal states were still struggling to pay salaries of civil servants.
Government capital spending so far has reached 332 billion naira, Osinbajo said. The record budget has been held up for months by wrangling between President Muhammadu Buhari and parliament.
Another 100 billion naira will be released in the next few days to fund power, housing, transport, agricultural and defence projects, Osinbajo said.
“We have pledged to keep capital spending at a minimum of 30 percent (of the 6.06 trillion naira budget),” he told a business forum in Lagos.
But Osinbajo also said many of Nigeria’s 36 federal states were still struggling to pay the salaries of civil servants, despite assistance from the federal government.
He also said Nigeria had saved 1.4 trillion naira by ending fuel subsidies and increasing fuel prices in May.
“Fuel consumption is down 800 trucks per day from 1,600 trucks per day before the price increase,” he said.
With oil prices dropping, the government has struggled to fund the budget. It is seeking advisers and bookrunners to manage a planned $1 billion Eurobond it intends to offer this year.
•Photo shows Vice President Osinbajo.
