The goals dried up for Championship leaders Burnley, who must try again at Turf Moor to dispose of Ipswich and reach the FA Cup fifth round.
The League One hosts - who are also top scorers in their division, made a strong start and could have been ahead in the second minute had George Hirst, played in by Kayden Jackson, hit the target.
Marcus Harness went even close straight after with a chip that bounced off the top of the Burnley bar.
Ipswich had the better of the chances in the first half against their Championship opposition
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