The Morocco-based bank is carrying out discussions with the Ivory Coast government in this regard, Reuters reported.
The government has plans to divest the remaining CFA4.9bn ($8.49m) worth stake in SIB.
Attijariwafa Bank CEO Mohamed Kettani told the news agency: "We have told the Ivory Coast government that we are interested in a part of it."
Attijariwafa, which posted net profit of $463m in 2014, representing a 5.2% increase, has subsidiaries in Tunisia, Senegal, Mauritania, Mali, Cameroon, Gabon and Congo Brazzaville. It also has branches in Europe.
The bank is the result of a merger between Banque Commerciale du Maroc and Wafabank.
