The £10m development, which is subject to planning permission, will include the addition of 28 bedrooms above the pub and an extension to the property that will include a further 45 bedrooms.
Wetherspoon, which said the development would create 30 jobs, has met with planning officers and is in the process of progressing its application.
A spokesperson for Wetherspoon said: “We are keen to open a new hotel alongside and above our pub, The Crystal Palace, in Glasgow. We believe that the hotel would be a great asset to the city and to the pub itself.”
Wetherspoon currently operates 36 hotels in the UK, including seven across Scotland.