Set to play at the Noel Coward Theatre, the musical tells the true story of the night in 1956 when Elvis Presley, Johnny Cash, Carl Perkins and Jerry Lee Lewis came together for a historic jam session.
Previews are to begin Feb. 8, with opening night scheduled for Feb. 28.
The show is currently playing on Broadway and in Chicago.
"The production team has undertaken an extensive search of the United Kingdom and Ireland -- with open auditions in Glasgow, Liverpool, Bristol, Dublin and London -- to find performers to play these iconic figures," the producers said in a news release regarding the London production. "Full casting will be announced shortly."