Shopping-centre bosses have submitted a detailed planning application for the extension that will see 350 new jobs created.
The developers behind the scheme have made changes to their design based on feedback from the local community and potential new retailers.
Designs now include additional space for restaurants and improved landscaping backing onto the neighbouring Pollok Civic Realm.
Phillipa Zieba, Project Director for Hammerson, the centre's owner, said: "Having spent a great deal of time speaking with local stakeholders and residents it is clear that there is a real appetite for a leisure offering in Pollok.
"It is also heartening to see that we have a number of interested catering operators keen to open in Glasgow.
"We will be undertaking follow-up meetings to update interested parties on our plans in the coming months, but I am delighted to be in a position to push ahead with the next stage in what will be an exciting addition to Silverburn."
As first revealed in the Evening Times in March, shopping bosses aim to expand the centre with new restaurants and a 2500-seat, 11-screen cinema.
Developers behind the multi-million pound expansion of the shopping centre are promising there will be a dazzling new entrance to the South Side shopping mall.
It is hoped that the application will be approved in the autumn with work starting in early 2013.
The launch is expected in mid-2014 with the cinema opening a few months later.
The £20million investment by Hammerson and its partner CPPIB, has been well received by shoppers and locals.
It is expected that up to 350 permanent retail and leisure jobs will be created, and Hammerson will join with local training groups to train new staff before they start work.
More than 2000 people already work at Silverburn with 70% of them from south-west Glasgow.
An exhibition showcasing the final planning application will be available to view at the shopping centre in the coming weeks.
The centre's previous owners applied for planning permission to extend the site in 2009.
But it was then put up for sale after the parent company, owned by the retail tycoon Paul Green, went into receivership.
Silverburn was then bought by Hammerson, a UK property investment trust, for almost £300m in December 2009.
New restaurants will join the existing food mall, which includes Handmade Burger, a Nando's chicken restaurant, Pizza Hut and a Wagamamas noodle bar as well as Japanese restaurant chain Yo! Sushi.