The work planned for the halls of residence at Andrew Melville Hall, North Haugh in St Andrews, will be done over three summers from 2023 to 2026 if Fife Council gives the green light.
The University of St Andrews Estates has submitted an application for listed building consent to carry out the internal and external alterations.
The Category A listed modernist building was designed by renowned architect James Stirling. It is recognised as one of the most significant post war buildings in Scotland, both as a key formative work for the architect and in its design and use of materials.
The university plans to carry out essential repairs over a phased period.