The museum is to extend its opening hours every night for a week to deal with the expected demand to see the Retrospective show before it closes on February 23.
Kelvingrove Art Gallery and Museum will open late, until 8pm, to allow people to visit the show every night from February 14-23, with the exception of February 20.
On February 8, the artist, who last week revealed he was moving back to Scotland from a period living in London, will be holding a book-signing session from midday to 2pm.
Kelvingrove's record for attendance at a show was set by the Glasgow Boys show in 2010, which attracted more than 120,000 visitors as well as wide critical acclaim.
Organisers of the Vettriano show are expecting a late push for tickets as the show is very unlikely to be staged again after it closes.
Mr Vettriano, whose popular images have sold millions of copies as prints worldwide, has spoken of his gratitude to Glasgow for providing the stage for the major retrospective.
It has featured more than 100 of the artist's paintings, including some of his best known images, such as The Singing Butler, Dance Me To The End of Love and The Weight.
Lesley Kerr from New Town, Edinburgh was the 100,000th person to visit the exhibition, which opened on September 21.
Councillor Archie Graham, chairman of Glasgow Life, which runs Glasgow's museum, said: "The response to the Jack Vettriano retrospective has been phenomenal.
"From the outset we knew it was going to be extremely popular and passing this milestone confirms the public's affection for the artist and his works."
All the paintings featured in this exhibition are on loan from private collections and many are being shown in public for the first time in 20 years.