Michael Laudrup's men also have a poor goalscoring record in matches between these two clubs as the Premier League's second-placed side travel to Wales on New Year's Day
City have made two trips to South Wales since the Swans were promoted to the top flight in 2011 but are yet to win or score there.
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Michael Laudrup's side struggled for form throughout December, posting just one win from seven top-flight games, with their latest outing ending in a 1-1 draw at Aston Villa on Saturday.
Winger Pablo Hernandez expects a tough challenge against City but hopes that January will bring Swansea a change in fortune.
"It's going to be a difficult game," the Spaniard told reporters. "One month ago we played them and we lost [3-0 at the Etihad Stadium] but we played a good game.
"They are a great team, with big players, but at home we can beat anyone in the Premier League."
City are in superb form, with four straight Premier League victories forming part of a run of seven victories and a draw since their 1-0 reverse at Sunderland in November. Manuel Pellegrini's team have also scored 11 goals in their last four matches.
Victory over Crystal Palace and Liverpool in their last two matches saw them move top of the table, only for Arsenal to replace them with their win at Newcastle on Sunday.
Laudrup is without goalkeeper Michel Vorm and forward Michu as both recover from surgery to resolve knee and ankle problems, respectively.
Pellegrini, meanwhile, may rest Joe Hart after the keeper suffered an eye injury in their victory over Palace, while Martin Demichelis (hamstring), Sergio Aguero (calf) and Micah Richards (hamstring) are all sidelined.