Planners have looked at current greenbelt boundaries and have drawn up a number of proposals which are now out to consultation.
These include a site at Auchinairn Road at Robroyston and an area of land north-west of Kerfield Lane, Drumchapel, both of which are being looked at as future areas for new housing.
There is also a plan to carry out a feasibility study into the development potential of a large site in Summerston bounded by West Blackhill Gardens, North Lambhill Cemetery and West Balmore Road.
That will involve taking a range of hydrological, landscape, access, nature conservation and other issues into account.
The area where the study would be carried out is north of the cemetery and Possil Loch nature reserve.
People are being asked whether developers should be allowed to build houses on these areas of greenbelt land.
Council chiefs want to know their views about expanding the green belt at Cathkin Braes.
Officials are currently preparing an up-to-date development plan for Glasgow, which will eventually replace the present planning blueprint for the area.
Part of the project involves reviewing the city's greenbelt boundaries with the aim of ensuring new developments are directed to the most appropriate locations.
The Scottish Government is also demanding there is enough land to meet Glasgow's future housing needs.
The council report states: "In October 2012, the council sought views on a proposal for development of a large site within the greenbelt at Summerston, lying to the north of the built-up area at Lambhill Cemetery and west of Balmore Road.
"Subsequently, the greenbelt review process has highlighted the need for a wider study of the Summerston greenbelt to assess its development potential."
There is also a proposal to include sites at Auchinairn Road, Robroyston and Lainshaw Drive, Castlemilk into the Cathkin Braes greenbelt area.
A recent report states: "The city council has commenced the greenbelt review with one of the objectives being to assess the potential for identifying additional land for housing in the city."
IT continued: "All of the locations identified have emerged from an initial study of the whole of the city's greenbelt, including its boundaries, based on an assessment of environmental constraints to development.
"This has resulted in the identification of three locations considered to offer some potential for development and two further locations where inclusion within the greenbelt may be appropriate.
"Prior to the greenbelt review being finalised, the council is seeking views on the appropriateness of these potential changes."
A council spokesman said: "We encourage everyone with an interest in housing in Glasgow and the city's greenbelt to participate in this consultation.
"While any consideration of the potential expansion of both the availability of land for building new homes and our greenbelt is in the very early stages, we are keen to learn about different views.
"This review of Glasgow's greenbelt will form part of the Local Development Plan for the city."
But SNP councillor Franny Scally, whose Maryhill/Kelvin ward takes in part of the site at Possil Loch, raised concerns about any move to build new homes in the area.
He said: "The council should be looking at redeveloping brown field sites rather than building on green field."
Scottish Natural Heritage is also taking an interest in the Summerston site.
A spokesman said: "This is at a fairly early stage and our role is advisory but we will provide advice if required as part of the consultation process."
The consultation runs until October 1 and the consultation documents can be viewed and downloaded on the council's website at www.glasgow.gov.uk/developmentplan.
Further information can be obtained by e-mailing email@example.com or by calling 0141 287 8608.
Anyone wishing to comment on the plans should write to the Development Plan Team, D.R.S. Glasgow City Council, 231 George Street, Glasgow, G1 1RX or e-mail their representations to firstname.lastname@example.org