The visitors had taken the lead against the run of play through Tom Lees in the first-half, yet the intervention of Dicko and Phillips helped The Seasiders turn the game around.
Blackpool manager Ian Holloway had made two changes to the side that beat Millwall on Saturday, with Craig Cathcart and Angel Martinez coming in for Ian Evatt and Barry Ferguson.
Captained by Alex Baptiste, The Seasiders started on the front foot but had to wait until nine minutes in to create their first real opportunity. Tiago Gomes played a one-two with Kevin Phillips but was flagged offside as he forced a decent stop out of Paddy Kenny.
Tom Lees picked up the first yellow card of the evening for a foul on Gary Taylor-Fletcher five-yards away from the area. Tiago Gomes' cross was cleared back out and the Portuguese midfielder then fired high and wide.
Blackpool's new arrival was causing the visitors plenty of problems, with another effort gathered at the second attempt by Kenny moments later. Despite that, Leeds won a corner at the other end and Tom Lees powered home Ross McCormack's cross to give Neil Warnock's side the lead.
BLACKPOOL 0 LEEDS UNITED 1
The Seasiders reacted to going a goal down quickly and had a penalty appeal waved away following a link-up reminiscent of Millwall between Gomes and Tom Ince.
Kevin Phillips was played through by Taylor-Fletcher on 22 minutes but his effort was thwarted by Kenny, with the keeper quickly getting down to his right to claim the ball. Avital intervention by Craig Cathcart in the Blackpool area prevented Aidan White a chance on goal.
Alex Baptiste almost made it two goals in consecutive home games when he got on the end of Gary Taylor-Fletcher's placed pass but he was also denied by Kenny. A 25-yard drive from Stephen Crainey failed to drop in time as Blackpool continued to push for an equaliser, while Tom Ince dragged his strike wide from an acute angle.
HALF-TIME SCORE: BLACKPOOL 0 LEEDS UNITED 1
Blackpool started the second-half at lightning quick speed, with an effort from Ince striking the post. The opportunities were piling up for The Seasiders, with Ince seeing another effort fly over the bar.
The away side introduced El Hadji Diouf prior to the hour mark in an effort to build on their advantage, while Ian Holloway brought on Nouha Dicko and Matt Phillips for Angel Martinez and Tiago Gomes minutes later.
Luciano Becchio glanced a header wide as Leeds continued to fathom the odd chance, yet The Seasiders finally made the breakthrough on 75 minutes when Stephen Crainey drilled a ball across the six-yard box and Nouha Dicko bundled it over the line.
BLACKPOOL 1 LEEDS UNITED 1
A planned substitution still went ahead following the equaliser, Ludovic Sylvestre taking the place of Kevin Phillips. Bloomfield Road was now rocking as the fans urged the players on in search of a winner.
That strike came from Blackpool's other sub, Matt Phillips. The winger put himself at the near post as Tom Ince played the ball across and prodded home from four-yards out.
BLACKPOOL 2 LEEDS UNITED 1
The Seasiders were now looking in the mood and dangerous, especially with Leeds forced to push more men further upfield. Tom Ince continued to try and add to his two goals against Millwall but couldn't find the reward that his performance deserved.
Ludovic Sylvestre and Matt Phillips both fired over during four minutes of added time but in the end two goals were enough to secure the victory.
FULL-TIME SCORE: BLACKPOOL 2 LEEDS UNITED 1
Att: 14,315 (1656 Away)