Atthaporn Suwatthanadecha, deputy city clerk, said most schools run by the Bangkok Metropolitan Administration will open on Monday, except Wat Pathum Wanaram School.
Wat Pathum Wanaram School is sandwiched between two anti-government demonstration sites at the Ratchaprasong and Pathumwan intersections.
Students will have to make up too many classes if schools are closed for much longer, Mr Atthaporn said.
However, school administrators would assess security. If necessary, they can order classes to be suspended for up to three consecutive days. If longer, they would need approval from the school district or higher education office.
Srinakharinwirot University, meanwhile, has announced it will reopen on Monday.
President Chalermchai Boonyaleepun said the university, which is near the Asok rally stage, needed to restart work after many days of closure.
Staff or students who are unable to get to the university should inform their faculties.
The university will monitor security developments daily.
The university' Prasarnmit Elementary Demonstration School, Prasarnmit Secondary Demonstration School and Pathumwan Demonstration School will also open as usual on Monday.
However, the students will go home early.
Mr Chalermchai said security was precarious and rectors of universities nationwide have expressed concern about the situation.
The rectors have written to the government to ask it for national reform to be held before a general election.