Nigeria doubled their advantage four minutes before the break through Toni Payne.
The Everton midfielder finished brilliantly after being picked out by an excellent pass from right-back Shukurat Oladipo.
Captain Rasheedat Ajibade came close to extending the lead before halftime but was denied by the Senegalese goalkeeper.
The pace of the game dropped after the interval as Super Falcons head coach Justine Madugu introduced several changes to his side.
Despite the late setback, the Super Falcons held on comfortably to secure a deserved victory.
Both teams will meet again in a second friendly at the same venue on Monday.
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