Capo was created by artist Vincent Woropay for the 1986 National Garden Festival and was installed at Etruria Hall in 2009.
After it was demolished, the structure was restored by Hanley-based heritage construction firm Alliance Technical Services, using many of the original bricks.
The council said it had worked closely with the family of Mr Woropay, who died in 2002, to “ensure the sculpture’s distinctive character and craftsmanship have been restored”.
The unveiling will be attended by the Lord Mayor of Stoke-on-Trent, Steve Watkins, and the artist’s widow, Chloe Chard.