The striker's goal in the 93rd minute against QPR on 13 May 2012 secured City's first league title in 44 years.
It was due to go up for auction in May but was withdrawn due to "unforeseen circumstances" never fully explained.
The unwashed and champagne-stained number 16 shirt is expected to fetch at least £20,000.
It was Manchester City's first league title since 1968 with the goal widely held to be one of the Premier League's greatest, and prompting broadcaster Martin Tyler's famous "Aguerooo!" commentary line.