The Scottish Football Association will discuss the future of Gordon Strachan at a board meeting on Thursday, after failing to qualify for the 2018 World Cup.
The former Scotland international replaced Craig Levein at the helm in early 2013, but missed out on qualification for the 2014 World Cup and Euro 2016.
Strachan's side had a chance to reach to the World Cup play-offs going into their final Group F qualifier on Sunday, but a 2-2 draw against Slovenia saw them pipped to the runners-up spot by Slovakia.
The 60-year-old is under contract with the SFA until November, which could see the end of his tenure after 19 wins, nine draws and 12 defeats in 40 games as manager.
Euro 2016 semi-finalists Wales will be absent in Russia next year as well, while the Republic of Ireland and Northern Ireland made the play-offs, with England booking their passage as Group F winners.