The Scots have endured a disappointing qualifying campaign, winning just one of their eight games to sit bottom of Group A with just two matches left to play.
Strachan played in the last Scottish side to finish bottom of a qualifying group in 1984 and is adamant that he has no plans to repeat that feat while in charge of the current team.
He told The Telegraph: "I wouldn't like it. I just wouldn't like it, so we have to do our best to make sure it doesn't happen.
"If it does happen, I'll tell you how it feels then but I don't want to think about it. It scares me to think that it would happen."