Two goals from skipper Billy Sharp and a first Blades goal from Daniel Lafferty secured a comfortable victory for Chris Wilder's inform side.
All the goals came in 20 second half minutes but the Blades were dominant against managerless Shrewsbury Town.
Chief Wilder was forced into one change with O'Connell missing out due to illness. After a three-match ban, Basham returned to the starting line-up and slotted into the rearguard as United continued with three central defenders.
The opening 15 minutes saw United make a positive start. Shrewsbury picked up a couple of early bookings as they looked to stop the visitors, who won a number of corners, from one of which Ebanks-Landell clipped back into the danger area and Sharp's powerful shot was blocked on the line by Ogogo.
Shrewsbury's initial chance arrived on 24 minutes, from their first corner. Riley's delivery saw Waring and Ogogo challenge before Basham cleared close to his own line.
Shrewsbury put together a spell of pressure without seriously testing Moore. Lancashire headed over a free-kick, but the better chances fell to United.
Freeman's shot on the turn was pushed away by goalkeeper Leutwiler and from a quick free-kick routine, Lafferty's effort was deflected wide. Close to the break, Fleck shot across the goalkeeper and wide but neither side were unable break the deadlock before half-time.
United's bright start to the first half was eclipsed by the opening to the second period. Fleck had already stung the palms of Leutwiler before the lead was secured, exactly 60 seconds after the restart. In front of the travelling fans, Done laid off to strike-partner SHARP to fire into the top corner from 25 yards.
Within the next ten minutes, United had opportunities to extend the lead, but both Sharp and Lafferty, after a neat move, could only find the body of Leutwiler.
The Shrewsbury goalkeeper was struggling moments later when Duffy's free-kick struck the crossbar but United's second was close. On 63 minutes, Coutts recycled possession on the right following another attack and from his deep cross, LAFFERTY arrived late at the back post to powerfully head home.
The one-way traffic continued and Leutwiler turned a Coutts shot over the crossbar but from the resulting corner it became three on 66 minutes. The deep delivery flicked off a head and SHARP peeled off at the back post to expertly control a first-time shot across the box and into the net.
Shrewsbury attempted to recover and forced a couple of chances. A Riley free-kick was punched away by Moore and from the second phase of another free-kick, a Dodds shot was blocked by Lafferty.
United, however, were by far the dominant force and Leutwiler and his defence were overworked late on as the visitors looked to boost the goal difference column. Sharp was denied a couple of times and Coutts fired over.
Whiteman and Brown were introduced late on and United nearly capped the performance with a great goal. Whiteman, Done, Fleck and Sharp were all involved in a move that opened Shrewsbury up but Lafferty, arriving at pace, shot just wide.
The three minutes of added time were incidental as United made it nine unbeaten.
Shrewsbury: Leutwiler, Riley, Sadler, Lancashire, Ogogo, Toney, Brown, Grimmer, Sarcevic, Deegan, Waring.
Unused: Black, Dodds, O'Brien, Mangan, Halstead, Leitch-Smith, Ebanks-Blake.
Blades: Moore, Fleck, Basham, Sharp, Done, Wright, Coutts, Freeman (Brown 89), Ebanks-Landell, Duffy (Whiteman 83), Lafferty.
Unused: Hussey, Scougall, Lavery, Ramsdale, Chapman.