Eighty new primary school places in Arnold are set to be created.
Coppice Farm and Richard Bonington primary schools have submitted planning applications for extensions.
Two new classrooms are to be built at Coppice Farm, creating an extra 30 places and replacing a temporary block.
The work is part of the county council's effort to increase the number of primary school places in Gedling borough. The authority has been scrambling to find more places in its primary schools with many children being left without a school in past years at a cost of tens of millions of pounds.
Deputy head teacher Maureen Batty said it would be "great" for children to be able to move into new classrooms.
She said: "We have been teaching in the temporary classroom for ten years now so we are very excited about this development. It would be great for children here for them to be taught in modern facilities."
The school has a capacity of 180 and has 186 children on its roll. The new classrooms would mean it can cater for 210 children. The extension would include new offices and drive.
Permission has to be given by the borough council before work can start.
Richard Bonington Primary also has expansion proposals which would result in 50 more places created, taking school capacity to 420.
As well as the classrooms, there would be a new playground and a reception and entrance. There would also be a food technology room for a new curriculum. No one from the school was available for comment.
A note on its website said: "There will be extra toilets and two footpaths. A new car park will be situated at the front of the school so that all staff can now park their cars.
"We are very excited because we are so desperate for some space and for more toilets."
The county council said that it is expecting increasing demands on its primary schools.
Ian Webster, place planning strategy team manager at the authority, said: "Both schools are included in Nottinghamshire County Council's Basic Need Programme for 2014 so we took this opportunity to increase the effective physical capacity of each school.
"They have been using unsuitable accommodation for a number of years so these new classrooms and extensions will be welcomed by pupils and staff alike."
Have you had trouble getting your child a school place? Email marcus.boocock@nottinghampost.com