The League One club have picked up 26-year old Scottish midfielder Coutts for an undisclosed fee while 22-year old defender Freeman joins on a free after having his Rams contract cut short.
The pair reunite with Blades manager Nigel Clough after they both played under the Bramall Lane gaffer during his time at Derby.
During his time at iPro Stadium, Coutts made 67 appearances while Wales U21 international Freeman played 27 times for the South Yorkshire club.
Derby County (@dcfcofficial) January 23, 2015
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