Waratahs' McKellar rules out becoming next Wallabies coach
New Zealand's Schmidt announced in February that he will stand down after Australia's Bledisloe Cup clash with the All Blacks on October 4 in Perth to spend more time with his family.
McKellar has been touted as a potential candidate to become Australia's fifth coach in six years, after Michael Cheika, Dave Rennie, Eddie Jones and Schmidt.
However, he said he was not interested.
"I'm not in the mix for the Wallabies gig," he told reporters as he prepared the 'Tahs for a clash with Super Rugby table-toppers Waikato Chiefs in Sydney on Friday.