Ms Sturgeon has written to Mr Cameron, stating a deal to support the city's position as a global oil and gas hub should be agreed "as a matter of urgency".
It is understood the Scottish Government would fund the city deal on a 50/50 basis, which would allow investment into digital connectivity, innovation and infrastructure.
The First Minister has now called for a tripartite agreement between the Scottish and UK governments and the local authorities to be struck 'as soon as possible'.
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In her letter, Ms Sturgeon said this would send a "strong and unequivocal signal" of support given the difficulties currently being faced in the oil and gas sector.
"The city deal provides a good opportunity to signal our respective governments' support for the region," the First Minister wrote.
"Against that backdrop, I am supportive of moving as soon as possible to agree the Aberdeen city deal.
"Proposals include plans to consolidate the region's global reputation in the oil and gas industry. A new innovation hub will support Aberdeen make the transition from an operations base to a global centre for technology and R&D investment and anchor the oil and gas industry as a major success story for the Scottish and UK economies now and in the years to come.
"Digital connectivity, supporting the Nigg Harbour expansion, investment in housing and transport will also all play an important role in supporting and growing the economy of Aberdeen city region for the future."
"As a sign that both ourselves, your government and the local councils are doing all we can to address the issue, proceeding to a tri-partite agreement as soon as possible would be welcome."
(LM)
