Relegation-threatened Livorno have sacked Domenico Di Carlo after just 88 days in charge and re-appointed Davide Nicola.
Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
The 27-year-old joined the Swans in the summer of 2011 when Brendan Rodgers paid Watford more than £3million for his signature.
But since Michael Laudrup took charge, Graham has struggled to command a regular place - starting less than half of their league games so far this term.
Graham has scored five goals so far this term, including two in his last two games.