Fulham have also expressed definite interest in Shaun Wright-Phillips, although City are looking to ensure there is some commitment to a permanent transfer before they will allow the winger to link up again with old boss Mark Hughes.
Brazilian striker Jo has also attracted interest from Birmingham, but City are looking for an outright sale rather than a loan the Blues would prefer.
"We have another 10 days," said Mancini.
"It is possible something could happen but at the moment there has been no progress."
The City boss did not entirely rule out the possibility of further purchases, even though club officials have cautioned against it.
Mancini has ruled out an imminent bid for striking sensation Romelu Lukaku.
While Mancini has spoken of his admiration for the teenager's talents, he will not be making an immediate bid for the youngster, although he has not ruled out a swoop further down the line.
The City boss did say: "Lukaku is a good player and he is young.
"Maybe in the future something will happen but at this moment, no."