Padraig Amond was the match victor for the Exiles, scoring a late penalty not long after Rachid Ghezzai had equalised for the Foxes.
Sheffield United have lost a home tie in The FA Cup to non-League opposition for the first time since Darlington beat them 1-0 in January 1911.
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Jamille Matt headed home for the fourth tier side in the 10th minute, putting them on track for a huge upset, only for Rachid Ghezzal to break the home side's hearts with an equaliser in the 82nd minute. Aleksandar Mitrovic could not repeat Surridge's feat when his spot-kick was parried wide by Daniel Iversen, with the on-loan Leicester goalkeeper's heroics paying further dividends in the 88th minute. "I am the most proud man in Oldham, I can't believe it", Wild, in temporary charge after Frankie Bunn was sacked, said.
Leicester finished with 70 percent possession and took 24 shots, compared to Newport's nine, but could only find the back of the net once.
"They were excellent from start to finish - the amount of work they did off the ball and the chances we created as well".
"Last season they played well with good results at home against Spurs and it will be a tough match because it's hard to play against this team on a small pitch".
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"They are a physical team with a fighting spirit".
Leicester have never won the FA Cup having been runners-up four times, the last in 1969.
Championship leaders Leeds United suffered a 2-1 defeat at Queens Park Rangers, joining second-placed Norwich City who were beaten by Portsmouth on Saturday.
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