WASHINGTON—Former Secretary of State Condoleezza Rice says the Republican Party must adapt better to rapidly changing demographics in the United States, saying the GOP sent "mixed messages" in the election campaign on immigration and women's issues.

Rice tells "CBS This Morning" the changing face of America "really necessitates" new thinking. She says, quote, "When you send mixed messages, sometimes people hear only one side of that." Rice says the GOP came close to matching the Democrats in the popular vote. But she also acknowledges that "clearly we are losing important segments" of the electorate. Rice adds that the party needs to "appeal to those groups."

Rice says she wouldn't be interested in succeeding Hillary Rodham Clinton as secretary of state, even if asked to do so by President Barack Obama.