Glasgow City Council has begun a consultation on the new timings, which include moving the spring break slightly earlier to accommodate the Easter weekend.
The annual holiday traditionally takes place in the first two weeks of April, but as Easter weekend falls earlier in 2027, education bosses are considering the change.
It would mean that for session 2026 to 2027, pupils would finish on March 25, 2027 and return on April 12.
In session 2027 to 2028, schools would close at 2.30pm on Friday, March 31 and re-open on Tuesday, April 18.
The current pattern of school term dates, holidays and in-service days is set until August 2026.
Glasgow City Council has developed a draft calendar for the following two years and wants to hear the views of parents, carers, pupils, staff and the wider public before the dates are finalised.
The consultation will be open until Friday (June 6) and can be found on the School Term Dates – Glasgow City Council webpage.
A council spokesperson said: “The consultation is a chance for parents, carers, staff and stakeholders to make their views known on the 2027/28 proposed school term dates in Glasgow.”