The Blues are expected to be busy in the January transfer window, with RoyalBlueMersey understanding that Ronald Koeman wants as many as eight new signings to boost his squad.
A creative midfielder is likely to be high on the list, with the current squad lacking in that regard.
According to the South Wales Evening Post, that man could be Iceland midfielder Gylfi Sigurdsson.
The Blues were keen on his signature in the summer transfer window but were unable to get a deal over the line.
Both Koeman and Director of Football Steve Walsh are big fans of the midfielder, though, and could reignite that interest this month.
The newspaper reports that the Swans board are likely to resist any bids for their man, who has once again been their star player this season.
Everton are not thought to be the only club keen on his services, with Leicester City, Roma and Inter Milan also thought to be monitoring his current situation.