Captain Ed Joyce duly saw Sussex through to their first County Championship victory over Warwickshire at Edgbaston in more than 30 years.
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Joyce's second century of the Division One match had already made Sussex's overdue success at this venue a near formality by stumps on day three.
On the final morning, the left-hander made no mistake to finish unbeaten on 151 as Sussex passed 330 to complete their highest chase since the turn of the millennium - with seven wickets and more than two-and-a-half sessions to spare.
Joyce, who had shared a century opening stand with Luke Wells on Tuesday, added another 94 for the third wicket with the flamboyant Rory Hamilton-Brown (54) to put the visitors on the brink of their second win in as many matches at the start of this championship season.
The Irishman hit 18 fours from 237 balls and closed the deal with minimum fuss after Sussex had begun the last day still needing 57 to win.
He completed the task with a leg-side boundary off Chris Wright, in the process also reaching his own 150 and bringing up an unbroken half-century stand with Matt Machan.
Warwickshire could eke out just a solitary wicket before the second new ball became available with only nine runs still required.
Hamilton-Brown had just completed his run-a-ball half-century but went for one cheeky shot too many, trying to flick Jeetan Patel fine on the leg-side and managing only to prop the ball into the hands of Jonathan Trott, who anticipated well to run round from slip.
New batsman Machan did not convince initially against Patel's off-spin and escaped a half-chance on one past Varun Chopra, but that was as close as Warwickshire got to any more inroads.
The Bears had not helped themselves on day three, putting down Wells and then Joyce twice in successive balls in the 90s off Patel.
But in the end, they paid most dearly for being bowled out for only 87 after choosing to bat first - and although Ian Bell's brilliant, unbeaten 189 in the second innings gave Warwickshire unexpected and significant hope, they could not sustain the fightback on a pitch which favoured the batsmen more and more.
Sussex therefore followed up last week's home victory over Middlesex, in the absence of their coach Mark Robinson.
He was thought to be down at Lord's to be interviewed for the job as England head coach and was therefore not among the smattering of spectators in Birmingham who saw his team take their points tally to 43 already.