The Netherlands’ 1-1 draw with Ecuador on Friday was enough to seal the Middle Eastern country’s fate after the home side lost 3-1 to Senegal earlier in the day.
Qatar still have to play their third group match on Tuesday, against the Netherlands.
But even if the hosts won that clash, they would still only be on 3 points and would not be able to finish Group A in the top two.
Only the winner and runner-up in each group go through to the last 16 stage of the competition.