The replay will take place at the Liberty Stadium in 10 or 11 days time, with the last time that either of these teams reached the last eight of this competition coming back in 1997.
Find out how all of the action unfolded in Yorkshire courtesy of Sports Mole's minute-by-minute updates below.
SHEFFIELD WEDNESDAY SUBSTITUTES: Wildsmith, Loovens, Joao, Baker, Kirby, Pelupessy, Nielsen
SWANSEA CITY SUBSTITUTES: Mulder, Naughton, Fernandez, James, Clucas, Dyer, Ayew
SHEFFIELD WEDNESDAY XI: Dawson; Hunt, Venanico, Jones, Pudil, Fox; Boyd, Butterfield, Reach, Wallace; Nuhiu
SWANSEA CITY XI: Nordfeldt; Naughton, Bartley, Van Der Hoorn; Roberts, Carroll, Ki, Olsson; Narsingh, Routledge, Abraham
If you would like to read our on-the-whistle report, you can do so by clicking here. Goodbye for now.