City have been linked with a move for the defensive midfielder in the January transfer window.
Diarra, who spent two seasons at Liverpool earlier in his career without ever playing a first team game, would cost around £7million.
City bound? Diarra (right) has been linked with a move to Eastlands in January
Diarra says he is happy to stay at the Stade Chaban-Delmas but that has not stopped the rumors circulating he could leave in the new year.
Bordeaux president Jean-Louis Triaud says there has been no contact between the two clubs.
But he accepts that it would be wrong to dismiss the speculation and said: 'We have not had any approach from them to now. But this does not mean they are not close to the player.
'But I would just like to reiterate the market begins in a week and by then, the rumours will multiply. As usual.'
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