This is one of the final drawings for the new Broomhill Primary, where parents have been petitioning for an upgrade to their school.
The existing school could be demolished to make way for a state-of-the-art building on the same site.
However, local politicians have expressed concern that the school may not be large enough for the growing local population.
Meanwhile, there are also worries that neighbouring land could be lost to the community.
Local MSP Bill Kidd said: "I am delighted that the new build for Broomhill Primary School looks likely to receive the go-ahead.
"But as we move into the consultative phase of the programme, I am conscious that there are concerns regarding the number of classrooms. This is a very popular area that has shown signs in the last couple of years of attracting a lot more young families.
"There are also serious concerns about the eventual fate of the land that presently holds the annexe.
"This is a cause for apprehension within the wider Broomhill community where there is much talk of the ground being possibly lost to the community."
Currently, Broomhill is sited in two properties, a main building and an annexe, and has a roll of 423 pupils. Under the plans, during construction works the annexe building will remain in use, with some pupils being taught there.
Others will be bused from a pick-up point near Broomhill Primary to the former Ladywell Primary building every morning.
Councillors will debate the plans at an executive committee meeting on Thursday.
If the proposal is approved at executive committee the plans will go out to consultation. The decant and transfer would then begin in spring 2015, with the new-build Broomhill Primary to be open in autumn 2016.
Council bosses said they would have no use for the annexe and its grounds after the new building is ready.
Local councillor Feargal Dalton added: "We have to say a big congratulations to the parents for working with the council to make sure this new school happens.
"But it is a popular school and I am not convinced that it can accommodate more pupils, should pupil numbers rise. We also need more assurances that the annexe area will remain green space for the community."
Should the proposal be passed, a public consultation will begin on March 10.
There will be a public meeting in Broomhill Primary School on March 25 at 7pm and the public consultation will close on May 12.
The plans will go to executive committee in September for final approval.
The future of Broomhill is being considered under Glasgow City Council's 4Rs Strategy for Glasgow - Right School, Right Size, Right Place and Right Time. So far the council has committed £250million over five years to invest in the school estate.
Councillor Stephen Curran, executive member for education and young people, said: "The proposed new Broomhill Primary school is a really exciting project which, if agreed following the consultation, will bring staff and pupils together in one building for the first time in a bright, modern learning environment.
"Officers have been working closely with parents and the school to shape the designs of the modern campus and the consultation process is the ideal way for anyone in the local community to give their views on the proposals."