Jonjo Shelvey and Ki Sung-yueng made sure Hull remains in the drop zone, as a dull match’s only goal came off an early deflection at the KC Stadium.
Shelvey’s hard shot hit Ki in the 15th minute to send Swansea within four points of No. 5 Southampton, while Steve Bruce’s Tigers have just 13 points.
That keeps Hull three points from safety.
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Swansea struck first in the sort of fashion Hull fans are expecting this season, as Shelvey’s shot took a right turn off of Ki and boundd past McGregor to make it 1-0.
Other than that, the first 45 minutes were far from remarkable. The teams put just two shots total on target, and 12 fouls were called.
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Swansea picked up a 26-yard free kick in the 66th minute, and Shelvey lined it up. The Englishman could not do much with the opportunity.
Hull City: McGregor, Bruce (Aluko, 59′), Chester, Davies (Maguire, 77′), Meyler, Livermore, Robertson, Elmohamady, Hernandez, Ramirez, Jelavic (Sagbo, 81′)
Swansea City: Fabianski, Richards (Rangel, 81′), Fernandez, Williams (C), Taylor, Ki, Carroll (Emnes, 57′), Shelvey, Dyer, Routledge, Gomis (Bony, 76′)
Goal: Ki (15′)