Brewster has signed a five-year deal with Chris Wilder's side after spending the past five years on Merseyside, during which he made four senior appearances either side of a loan spell with Swansea City in the Championship.
"Rhian Brewster has completed a deal to join Sheffield United on a permanent transfer, Liverpool Football Club can confirm," the official statement said.
"...Everybody at Liverpool would like to wish Rhian all the very best for his future career."
