Moses, usually allowed to roam up front for Nigeria, was put to work as a right wing back against Iceland and after a tepid first half helped his side to win three points by setting up the opening goal for Ahmed Musa.
The African side will secure a spot in the knockout stage if they beat Argentina on Tuesday in Group D's final round of fixtures.
No matter what happens, the runner up in Group D will meet the victor of Group C, which is likely to be France, in the Round of 16.
For Argentina to qualify, they need to defeat or draw against Iceland in their last match while hoping Argentina win their match against Nigeria. The Lokomotiv Moscow's deft touch took the ball beyond an opposing defender, creating the space for a blast of the ball that Thor Halldorsson had absolutely no chance of stopping.
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The match became a stalemate until 10 minutes before half-time when Iceland came close to opening the scoring but Leon Balogun's glancing header just did enough to thwart Gylfi Sigurdsson and Birkir Bjarnason lurking at the back post. The penalty was awarded after a video review showed that Alfred Finnbogason had been brought down by Tyronne Ebuehi.
Wilfred Ndidi forced Hannes Halldorsson into a fine fingertip save with a wickedly dipping shot from distance in the 58th minute. "However, we've moved past that disappointment and we're looking forward to the next game", Ndidi told FIFA's official website. Pressure piled up on the Argentines and moreover on the captain Lionel Messi on whom all of the country's hope rests on.
"We are aware of the feelings of Nigerians after the 0-2 defeat from Croatia, and we are not ready to make that mistake again. It gave us more space and the speed proved decisive for us".