Jordan conceded just three runs after Eoin Morgan entrusted him with the ball, effectively shutting out the hard-hitting talents of Shahid Afridi and Umar Akmal.
Two of those runs scored were leg-byes, as Jordan speared full and straight into the batsmen’s pads, before he finished the over by pinning back Umar’s leg-stump.
Morgan and Jos Buttler were therefore able to employ caution when they might not have expected to complete a win that secured a 3-0 series triumph and moves England up two places to fourth in the ICC’s Twenty20 rankings.
It was also a sixth successive limited-overs win for Morgan’s blossoming team after the one-day international series was closed out 3-1.
That run had appeared certain to come to and end in regulation time when Sohail Tanvir’s final-over six, off Chris Woakes, left Pakistan needing three from the final four balls.
That would be just the start of a dramatic finale.
Tanvir took two balls to get off strike and leave Shoaib Malik – who crashed an eye-catching 75 – with two to get from as many balls.
The triumphant England team pose for the cameras after sealing the 3-0 series win over Pakistan in a Super Over
Woakes complicated the scenario, however, when he has Malik caught in the deep before Pakistan scrambled a final-ball bye after Buttler’s shy at the stumps was too high.
That set the stage for Jordan to become the hero in what was the first Super Over delivered by an England player at international level.
Morgan pushed a two to win the game from fifth ball of England’s reply, although even then it did rely on some poor Pakistan fielding as Buttler would have been caught short had the fielder at the non-striker’s end gathered the throw from the deep.
England’s 154 for eight had relied on a late 60-run stand between James Vince and Woakes after they had slipped to 86 for six.
Vince almost batted through the innings for his 46 and, while the Hampshire captain never found full fluency, his presence at the crease when others were falling was critical to the late revival.
Woakes was able to chance his arm and crashed three big sixes on his way to 37 from 24 balls as England took 54 from the final five overs.
England lost Jason Roy from the first ball of the innings, lbw to debutant Aamer Yamin, before Afridi claimed two wickets in as many balls at the end of the powerplay.
Joe Root has appeared in ominous touch as he coasted to 32, and past Kevin Pietersen’s seven-year record for the most runs by an England batsman in a calendar year, before he and Moeen fell to Afridi.
England then stumbled along until Woakes joined Vince, whose battling innings had not been helped by the fact he was starved of the strike.
Woakes showed the way with some crisp hitting as England raced past 150. Both fell in the final over with Vince caught in the deep from the penultimate ball.
The first over of Pakistan’s over was riddled with mistakes as they lost two wickets, including another head-scratching Mohammad Hafeez run out, while David Willey bowled four wides – including three in a row at one point.
England kept plugging away to have Pakistan 65 for five in the 12th over before Malik and Afridi turned the game on its head again in a 63-run stand from 38 balls.
Afridi was bowled behind his legs by Willey, who returned 3-36, but Malik continued to find the ropes to keep the game on a knife-edge.
Woakes had 10 runs to defend from the final over and while Tanvir launched him for the straight six, the Warwickshire all-rounder kept his cool and sent the game to a Super Over.