Rao, who held a meeting with L&T Metro Chairman S N Subrahmanyan and other officials here, said the state government is ready to extend all cooperation to the firm in the execution of the project, a release from his office said.
He favoured early completion of works as the Metro rail project would resolve traffic woes in Hyderabad to some extent.
It was decided at the meeting that the Miyapur-LB Nagar main section of the project be completed by November, 2017 and that the remaining work wrapped up by August, 2018, the release said.
The Hyderabad Metro Rail project is the world's largest Public Private Partnership (PPP) in the metro sector.
The metro network would cover a distance of around 72 kms across three corridors in the city.
Overall, 67 per cent of the total work was completed till September 30, 2016, L&T Metro said in October.
The project, being built at a cost of Rs 16,375 crore, was initially scheduled to be completed by July, 2017.