Garry Monk's men could have added to the scoreline the second half as they held out against a lacklustre Tigers outfit for their second away win of the season.
Here, Sports Mole analyses whether the results was a fair one at the KC Stadium.
On target: 3
On target: 3
Was the result fair?
Monk's men were far more dangerous in the final third of the pitch, even if their goal was fortunate as Ki knew nothing about the ball as he deflected Shelvey's effort past McGregor. The Swans weren't at their clinical best in front of goal, but if they had been the scoreline would have been more in their favour. Hull failed to produce anything of note, bar an effort off the crossbar from Andrew Robertson in the first half, and if you don't create opportunities at home and defend poorly, you don't deserve to take anything from the match.
The Tigers started brightly with a couple of chances in the opening 10 minutes, but from then on it was all one-way traffic as they fell behind to Ki's goal. Steve Bruce's men never looked like getting the goal to get back into the game as Nikica Jelavic and Abel Hernandez were starved of service throughout. The wide men were not utilised properly as Ahmed Elmohamady and Robertson could not get into the game, while the midfield lacked a creative spark. At times the Tigers were cut open at the back and saved by the Swans' lack of clinical edge.
A strong performance from the Swans to get back to winning ways and propel themselves back into the mix for a European place. They weren't at their best going forward as they hit the post twice, while Shelvey and Dyer will rue missed chances in the final third. After taking the lead they always seemed to have control of the game, and never troubled Hull's attacking threat. Defensively, Monk will be delighted with his team as they protected their box extremely well and Lukasz Fabianski didn't have a shot of great difficulty to save in the 90 minutes.
Sports Mole's man of the match
Jonjo Shelvey: It could have been Ki or Ashley Williams, but Shelvey was the driving force behind his side's victory as he raided forward from midfield on several occasions and used the space afforded to him extremely well. It was his strike that was deflected past McGregor by Ki, while he also hit the post in the first half and also had a shot saved by the Scotland international. He was combative in the midfield and helped his side win the majority of their battles in the middle of the park.
Nikica Jelavic should have done better with a first-half effort following a mistake from Federico Fernandez. The striker decided to shoot from distance and with the outside of his right foot, rather than take the ball into the box, and his effort failed to trouble Fabianski.
A quiet afternoon for Mark Clattenburg on a game low on drama. All the decisions he made were the correct ones and he rarely went for his yellow card, producing it only when necessary.
Hull: Bruce's side travel to face his former club Sunderland at the Stadium of Light on Boxing Day.
Swansea: The Swans host Aston Villa at the Liberty Stadium on Boxing Day.