Colin Patrick O'Brien scored the crucial goal as Cork squeezed past Longford at Turners Cross on Sunday.
Kelvin Flanagan scored Cork's first, but a late Stuart Holt penalty ensured the final 17 minutes were not comfortable for the City faithful.
The Leesiders opened the scoring on the half-hour mark, thanks to Flanagan's strike. The forward got on the end of an Ollie Cahill flick-on to score from 18 yards.
The visitors had chances to equalise, with Eric Lavine seeing his effort safely gathered by Cork goalkeeper, Michael Devine, before the break.
Cork then dominated and got the second thanks to O'Brien after the break. The teenage striker latched on to an Alan Bennett pass to score with an angled shot.
Longford struck back with a penalty on 73. Stuart Holt dispatched the spot kick after Lavine was brought down in the area by Devine, who was cautioned for the foul.
That set up an anxious period for Cork, although they always looked capable of scoring again. Alan Carey came close to a third for the hosts, but his shot hit the post.
>setanta.com
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