That's according to spokesman Raj Shah, who says White House communications aide Kelly Sadler still remains in her position following her comment during a closed-door meeting last week.
The 81-year-old McCain is battling brain cancer.
Sadler called the Arizona Republican's daughter Meghan McCain, a co-host of ABC's "The View," to apologize but hasn't apologized publicly.
Shah led the meeting in which Sadler made the comment. He says he won't discuss how the situation was "addressed internally" because then it would no longer be internal.
White House officials condemned the leak of the private conversation and have expressed their support for Sadler.