United made it eight games unbeaten with victory over Crystal Palace at Shirecliffe.
Jordan Hallam netted a brace, including one from the penalty spot, as the Blades continue to soar in the Professional Development League.
Despite enjoying the better of the game in the first period, the Blades didn't take the lead until the 56th minute. HALLAM was brought down as he advanced towards goal and from the penalty spot he made no mistake.
Ten minutes later, the in-form striker got his second, beating two defenders before smashing home into the top corner, with Greaves claiming the assist.
With 17 minutes remaining, Palace pulled a goal back, but in the end it proved to be nothing more than a consolation.
Blades: Warhurst, Charlesworth, Ferguson, Cantrill, Ford, Hallam, Gilmour, Doherty (Hawkes 78), Greaves (Burton 82), Hirst, Parkhouse (Stewart 66).
Unused: Dewhurst, Weaver.