Aberdeen City Council will ask the Scottish Government to consider contributing £1.5 million to the £30m Art Gallery revamp.
Chief executive Angela Scott will write to the First Minister asking her to consider matching a £1.5m contribution from the UK government towards the restoration of the Remembrance Hall, announced last month.
Euan Couperwhite, the council’s head of policy, performance and resources, told members of the finance committee a total of £2.507m has now been pledged towards the revamp.
But the local authority is still to raise more than £7m as part of a fundraising drive to fund the development.
Meanwhile, members of the committee unanimously agreed to carry out a £300,000 refurbishment of Thomas Glover House.
As reported in the Evening Express, the preferred option had been to turn the site into a “bespoke business centre”, costing more than £800,000.
But finance convener Councillor Willie Young put forward a motion to spend £300,000 on making improvements to the building including making it wind and water tight.
Councillors also agreed to liaise with Aberdeen Asset Management to see if they are prepared to invest financially in the house.
Cllr Young said: “The reason we have gone with option one is because they have the £300,000 of funds.
“We have been asking for money from various sources including Aberdeen Asset Management and before we go onto option two we need to know if people are prepared to put in any money or if not we will have to find it ourselves.”
Thomas Blake Glover was a pivotal figure in the industrialisation of Japan in the mid-19th Century and helped found the Mitsubishi company.
A spokeswoman for Aberdeen Asset management said: “We have long understood the importance of Blake Glover to the North-east and how his industrial and cultural influence played a significant role in international trade with the Far East.
“We continue to work with all the relevant partners in the North-east to ensure that his contribution is acknowledged and honoured and that the links he made are nurtured and flourish.”