The West End producer and Welsh opera singer will team up on a rendition of 'Love Never Dies', Webber confirmed on his official website.
Show mentors Jayne Torvill and Christopher Dean will skate a new routine to accompany the performance.
The programme's final seven contestants Hayley Tamaddon, Danniella Westbrook, Gary Lucy, Kieron Richardson, Mikey Graham, Emily Atack and Danny Young will have to perform a jump as the 'required element' this week.
Dancing On Ice continues this Sunday at 6.50pm on ITV1.
