UNITED 2 (Robinson 7, Becchio 40), BRADFORD CITY 1 (Conlon 71)
Leeds United: Lucas, Richardson, Huntington, Marques, White (Delph 86), Prutton, Kilkenny (Johnson 72), Howson, Snodgrass, Showunmi (Becchio 29), Robinson. Subs: Ankergren, Beckford.
Bradford: Evans, Heckingbottom, McLaren, Bower, Lee, Daley, Conlon, Colbeck, Moncur, Nix (Boulding 89), Furman (Bullock 86). Subs: McLaughlin, Arnison, Thorne.
Referee: A Taylor.
Booked: Snodgrass, Johnson (United), Colbeck, Daley (Bradford)
Highlights and reaction available on LUTV on Wednesday...
United boss Gary McAllister made a host of changes once again, and also went for a change of system with Andy Robinson and Robert Snodgrass playing alongside Enoch Showunmi in the frontline.
Aidan White also returned to make his second start for the club with the teenager lining up at left-back.
The first West Yorkshire derby for almost eight years produced a healthy crowd and, having scored five goals in the first half the last time the two sides met, United almost bagged another early goal when David Prutton fired an angled shot against the upright after just three minutes.
But United were in front inside seven minutes after Paul McLaren handled a cross from the right. Andy Robinson stepped up to convert the spot with a unstoppable shot.
It was a good start by United, but Dave Lucas was called upon to react quickly to spread himself well when Barry Conlon diverted an Omar Daley shot goalwards.
Jonny Howson was next to go close when he sent a low shot wide of the mark after finding space on the edge of the Bradford area.
There was disappointment for the visitors on 21 minutes when they thought they had equalised. A shot was cleared off the line by Neil Kilkenny, it canoned back of Lucas to cross the line, but the flag was raised for an apparent offside against Omar Daley.
The decision proved the cue for tempers to flare and after Joe Colbeck was booked for a foul on Robert Snodgrass, the Scotsman followed him into the book for a challenge on Daley.
United were forced into making a change on 29 minutes when Enoch Showunmi limped out of the action to be replaced by Luciano Becchio. The Argentinian's first involvement was to head over the top.
While United looked the stronger of the two sides, Bradford were lively going forward, and Conlon wasted a good chance when he headed over the top from close range shortly before half-time.
But United's response came courtesy of a terrific passing build-up that ended with a Robinson thunderbolt crashing back off the underside of the bar.
Moments later, it was 2-0 though, courtesy of Becchio. The striker got up well to head a corner kick beyond the reach of Rhys Evans.
United almost had a third before the break when Evans kicked the ball straight at a quick-thinking Robinson, but the rebound was agonisingly wide.
Leeds started the second half in the same dominant mood, and Bradford were quickly on the back foot.
The Bradford goalkeeper was called into action on 52 minutes when he clawed away another goalbound effort from Becchio, who did well to work himself an opportunity.
Leeds continued to press and Howson rattled the inside of the post before Evans palmed a Robinson shot over the bar.
Robinson was a real thorn in the side of Bradford, and Evans made another fingertgip save from a curling free-kick to keep the score at 2-0.
But, for all United's domination, the visitors grabbed an equaliser with 20 minutes remaining. Kyle Nix drove the ball towards goal, following a cut-back from the byline, and Conlon got the final touch.
The visitors did continue to rally, but there was a sour incident in the 85th minute when Daley went into the book for an horrendous challenge on Rui Marques.
Lucas made a comfortable save from McLaren in the 90th minute, although three minutes of additional time did set up a tense finale.
Bradford did press forward one final time, but it was United who eased through into the second round of the JPT at the expense of the League Two side.