His statements comes after 61 legislators of Congress, TDP and PRP reportedly resigned to protest against the decision of separate Telangana state.
Speaking to reporters, Rosaiah said, "If necessary, the resolution will be moved in the Assembly. Even if such a situation arises, the resolution will be passed only if it gets majority support."
"Mr Chidambaram said the resolution will be moved. It does not mean that it will be moved immediately because there is a process for this and there are several stages in the process. We have to talk to people from other regions," he said.
"Sonia Gandhi has called a meeting of Andhra and Rayalaseema regions this evening," he said.
The Chief Minister said the central leadership of the party was monitoring the developments.