Clough, 47, steered his side to four straight league wins during February as they have completed a remarkable turnaround to climb clear of relegation trouble.
A 3-0 defeat at Crewe on February 1 left the Blades second from bottom in the table, but they have since embarked on an eight-game unbeaten run in all competitions, including seven straight wins, while a 3-1 victory against Nottingham Forest saw them reach the quarter-finals of the FA Cup.
Former Burton manager Clough replaced David Weir as Blades boss at the end of October, just short of a month after being sacked by Derby.
Tuesday night's home win against Peterborough lifted Clough's side up to 10th place, eight points adrift of the play-offs.
- Sports & Recreation