Their best chances came from the left where Ross Wallace swung in crosses for Grant Leadbitter and Jones.
Town's misery was compounded when Grant Leadbitter was sent off in added time.
And in the final five minutes another Yorke cross saw Jones head over while Leadbitter dragged an injury-time effort narrowly wide.
Sunderland continued to hold their opponents at arms length for the most part, though, and went close themselves when Leadbitter drove a 30-yard free-kick wide.
Cudicini then palmed Grant Leadbitter's long-range effort away for a corner and from the resulting set-piece Danny Collins outmuscled Terry but his header went wide.
And Leadbitter dragged a tame shot wide after Sun Jihai, who had a torrid evening, slipped on halfway to gift the breaking Stokes the ball.
Grant Leadbitter had Sunderland's best chances but Pompey comfortably held on.
When the Reds did threaten a goal, Black Cats keeper Fulop kept them at bay as he impressively palmed Albert Riera's deflected shot off Grant Leadbitter wide.
But Leadbitter's side-footed effort back into the box was cleared by Richard Dunne and Jones could only get a toe to another delivery to the back post.
Ipswich's disappointing afternoon was completed in injury time when Leadbitter lost control of the ball, over-stretched and clattered into Paul Anderson and was shown red as a result.
But the lead did not last long as Cech - under pressure from Jones - missed an attempted catch from Leadbitter's cross to allow Richardson the chance equalise.
Among other Ipswich chances, Damien Delaney steered a header wide from Leadbitter's outswinging corner six minutes before half-time, before a Tommy Smith headed effort was blocked by James Henry.
Grant Leadbitter had Sunderland's first shot in anger as he struck a 22-yard effort wide before Kenwyne Jones just failed to get a crucial headed touch to divert cross past keeper Petr Cech.
They should have taken the lead with the first real attempt on goal just before the half-hour mark when Troy Brown's header from Leadbitter's cross was excellently tipped over the bar by Forest keeper Lee Camp.
For Sunderland, Andy Reid was lively on his full debut, while Leadbitter appealed for a penalty when his shot hit Sol Campbell on the arm on 35 minutes, only for his pleas to be rightly waved away.
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