Johanna Gray unexpectedly left the West End hospital yesterday at around 3.30pm.
The 43-year-old, also known as Jo, lives in Yoker and is originally from Dunfermline. She was spotted walking to Great Western Road in the direction of Anniesland Cross.
Photograph handout of Johanna Gray from Police Scotland
She is understood to have previously mentioned visiting the Isle of Bute.
Johanna is described as being white, five inches and three feet tall, of average build, with blue eyes and brown hair.
She was last seen wearing blue jeans, white shoes and a light-coloured long-sleeved top. She may also be wearing glasses.