Brazil were seen as the favourites to win this summer's competition in Russia, but the South Americans suffered a 2-1 defeat to Belgium in the last eight on Friday night.
Tite has insisted that 'it is not the appropriate time' to talk about his future as Brazil look to overcome the disappointment of missing out on the chance to land their first World Cup since 2002.
"I am not going to talk about the future. It's not appropriate in a moment of a lot of excitement. I'm still with the match, I'm not thinking about the future like that. I can't answer that question," Tite told reporters.
Tite has been in charge of Brazil since June 2016, and the loss on Friday night was just the second time that he had tasted defeat in the position.