The local authority had planned to relocate Linburn Academy pupils because they said the premises were no longer fit-for-purpose.
However, Kirkriggs, now a primary for children with additional learning needs, who would have also moved elsewhere, has been rejected as the new site.
Michelle Leitch, chairwoman of the Linburn parent council, said: “We’ve won the first part – we didn’t want to have to move that far away. The parents are feeling good but a bit unsettled now as we don’t know what the solution will be.
“We’re really happy because we’re not going to Kirkriggs – that was our main aim, for our children not to have to travel that far and lose out on all their facilities.
“It was also too far for staff so they would have lost that connection too. We weren’t backing down at all so the council said they wanted to work together with us to find a better solution to the problem.”
Dozens of parents from both schools had campaigned against the proposals for the last four months.
Pupils at Kirkriggs school in Castlemilk, which the council says is only 50 per cent occupied, would have moved to Toryglen primary, making way for children from Linburn Academy in Penilee.
Humza Yousaf, an SNP MSP who has also been campaigning for the plans to be scrapped, said: “I am pleased that Glasgow City Council have finally seen sense and abandoned their ludicrous plans to make young people with complex needs travel eight miles across the city for their education.
“This is an excellent victory for the parents of children at Linburn Academy in Penilee. I was delighted to support their cause.
“Let’s hope that Glasgow City Council now listens to the parents of Linburn Academy, who know what is best for their children’s education.”
A Glasgow council spokeswoman said it would continue to engage with parents and staff at the school to explore various options that had been brought forward as part of the consultation process. Elected members would then take a final decision.