The rapper's first show at London's Hammersmith Apollo on February 24 sold out within minutes of going on sale this morning (February 15).
However, West will now play a second show at the venue on February 23, with tickets going on sale immediately.
The gigs follow similar recent one-off shows in the US and Abu Dhabi earlier this year.
They will be West's first UK shows since touring the country with Jay-Z last year. The pair played their Watch the Throne album around the UK and headlined BBC Radio 1's Hackney Weekend in May.
The-Dream recently revealed that he is working on West's latest album, but said he has been told to "zip it".
Watch the music video for Kanye West's 'Lost in the World' below:
Photo gallery - 2012's Hackney Weekend: