The building will be located on the site of the former Westbank Clinic on West Bridge Street.
Last month the council gave the green light for plans to be brought forward.
Building warrants for the demolition of Westbank Clinic and the new HQ have also been submitted.
Following a public consultation on the proposed design for the new building, a revised design has been put forward taking on board adjoining residents' concerns regarding the height and size of the building.
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The design has now reduced the eastern block by one storey and the parapet heights of both blocks, retaining a 'stepped profile' to blend with the surrounding topography.
A council spokesperson said: "We have reduced the height of the building by a further 2.5 metres and design team have evolved the 3D visualisations and elevational treatments to highlight that this is a high quality, yet functional design, which will be appropriate for the Council’s main HQ and will complement the architecture in this part of the town centre."
It is expected the council's planning committee will consider the application early in 2016 after the formal process has been progressed.
The full planning application can be viewed via the Council's online planning portal here.
(LM/CD)
