Barnsley-born Morgan, 35, who spent nine years as a player at Bramall Lane, has been placed in charge until the end of the season following the surprise sacking of Danny Wilson with just five games remaining.
Wilson's 23-month spell in charge ended in the sack on Wednesday and club owner Kevin McCabe revealed in a press conference today it was the Blades' stuttering home form that had cost the 53-year-old his job.
United have won only seven home league games this season, drawing nine and losing four, but the club can still gain automatic promotion.
Despite sitting sixth in the table they trail second-placed Bournemouth by six points with two games in hand.
When asked why the Blades had struggled in front of their own fans, Morgan, who said he had been shocked by Wilson's departure, added: "I've no idea. If I knew the answer I'd have aired it before now.
"Is it pressures from playing at home? Is it the big crowds? Do we freeze?
"The team structure is there, the players are there, the ability's there, so there has to be something and we'll have a look at it and address everything we can.
"As coaching staff we can only do so much and like I said to the players this morning, they've put themselves in a fantastic position and it will be them that clinch it, or let it go."