Raila left the country on Saturday evening for the United States, immediately after the Mashujaa Day celebrations at the Bkhungu Stadium.
In the US, Raila is set to deliver a public lecture at the Duke University in North Carolina.
His spokesperson Denis Onyango says that the former premier will meet Kenyans from the Raleigh area as well as business leaders from the State.
In his trip to the Us, raila has been accompanied by Nyando MP Jared Okelo.
Mr Odinga will be at the US for at least one week.
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