Alison Magee, chair of BLF Scotland, said the offer presented an unparalleled opportunity for the sector north of the border.
“This funding should be seen as a symbol of our confidence in Scotland's vital voluntary sector,” she said.
However, a spokesman for the SCVO said he was unable to give any more details until the award had been accepted by the umbrella organisation’s board.
He said: “We believe that strengthening infrastructure across Scotland is important and we are examining the bid to make sure it can be delivered effectively.”