A Danny Webber strike secured the three points for the Blades, bringing a lift to the club after a sticky start to life back in the Championship.
Robson told the Sheffield Star: "That should bring the confidence out of the lads now.
"Hopefully that will give us a platform and stand us in good stead for the rest of the season. It was a really professional performance." Meanwhile, Robson is likely to be without goalkeeper Paddy Kenny for the weekend clash with Hull City, after the Irishman went off against the Foxes with a shin injury.
An x-ray revealed that there is no break, but severe bruising is likely to mean a rare start for veteran Ian Bennett.