It's going to be installed inside the entrance of Methodist Central Hall - two years after the council rejected an application for a larger version to be displayed outside for the general public.
The statue, by Canadian sculptor Timothy Schmalz, is a life-size bronze of a shrouded person sleeping on a bench, with only the crucifixion wounds on his feet indicating he represents Jesus.
The full-size version was offered as a gift to the Methodists in 2015, but Westminster City Council refused the application as it failed to "maintain or improve (preserve or enhance) the character or appearance of the Westminster Abbey and Parliament Square Conservation Area".
The statue has already been installed in 50 locations across the globe including the Vatican, Madrid in Spain, Chennai in India and several cities in the US.
Glasgow became the first location in Scotland to house the statue on the pavement in Nelson Mandela Square, beside St George's Tron church.
The smaller version of the statue will dedicated by the Chair of the London District of the Methodist Church, Michaela Youngson on Good Friday.
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