Donald Trump and Kamala Harris have each notched early wins in reliably Republican and Democratic states so far.
Mr Johnson said he disagreed with Cox regarding Mr Trump’s response to the Ukraine Russia war if he was elected president.
The Republican candidate is projected to win the states of Kentucky, Indiana and West Virginia, while Ms Harris is expected to win Vermont.
Boris Johnson has been “fired for banging on about his book” during a guest appearance on Channel 4’s coverage of the US election, according to the programme’s co-host Krishnan Guru-Murthy.