Kompany has missed five games due to a calf problem.
Mancini also revealed right-back Maicon faces a month on the sidelines after a knee operation.
The Brazilian was out for the Christmas programme and the whole of January with a knee injury but had made three substitute appearances this month.
Roberto Mancini: "He has had surgery on his knee, but in a month he can recover.
"The operation was to clean his meniscus."
Source: Manchester City MAD