Doncaster Rovers were denied all three points when they conceded an equaliser deep into stoppage time.
Rovers were boosted by the surprise return to the squad of Billy Sharp who was on the bench.
Sharp return is two weeks ahead of schedule after a hamstring injury.
Dennis Souza who received international clearance to play for the club in midweek was also on the bench.
Swansea had a shot on goal in the opening minutes with Neil Sullivan making a save from David Cotterill.
Healy had the ball in the net early for Rovers but the goal was ruled out for offside.
Darren Pratley had a great chance to put the visitors ahead but shot wide when put through on goal.
Rovers took the lead on sixteen minutes when James Hayter scored for the fifth game in a row.
David Healy`s left wing cross was met by a diving header by Hayter and he gave De Vries no chance.
Hayter`s goal was the tenth game in a row that Rovers had scored and they became the first team in the Championship to achieve the feat this season.
The goal sprung the visitors into life and they dominated proceedings after but the closest they came to scoring was when James O`Connor sliced a clearance almost into his own goal.
A good entertaining first half between two good footballing sides. Rovers would have been happy to go in at half time one goal to the good.
Swansea made a change at half time with leading goalscorer Scott Sinclair replacing Mark Gower.
James Coppinger had Rovers first chance of the second half close to the hour but De Vries saved his shot, the ball fell to Healy who headed the rebound wide.
David Healy also had a great chance to double the lead but De Vries saved his header.
Rovers were enjoying a lot more of the play in the second half and James Hayter fired wide of the post as the game entered the final fifteen minutes.
Healy had another good chance but he scuffed his shot wide of the post.
Rovers hearts were broken in the second minute of stoppage time when Angel Rangel spun and shot past Sullivan to equalise for the visitors.
Despite dropping two points an entertaining game between two good footballing sides.
The result sees Rovers stay in seventh place in the table
Sullivan, O`Connor, Dumbuya, Hird, Thomas, Wilson, Oster (Shiels 88), Stock, Coppinger, Healy (Brooker 84), Hayter
Subs not used
G. Woods, Sharp, Lockwood, Souza, Fairhurst
De Vries, Williams, Taylor, Cotterill, Pratley, Beattie, Dyer (Sinclair 46), Serran (Agustien 61), Rangel, Allen, Gower (Dobbie 70)
Subs not used
Ma-Kalambay, Orlandi, Van Der Gun, Richards
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