Dnipro were awarded a late penalty when Matheus was felled by Jan Vertonghen, with Yevhen Konoplyanka succeeding from the spot.
We must now attempt to overturn the deficit in next Thursday's second leg at White Hart Lane.
FC Dnipro: Boyko, Mazuch, Kankava, Giuliano (Politylo 77), Konoplyanka, Cheberyachko, Strinic, Zozulya, Rotan, Fedetskly, Matheus (Kulakov 89). Unused subs: Lastuvka, Kravchenko, Kallinic, Gama, Douglas.
Spurs: Friedel; Naughton, Dawson, Vertonghen, Rose; Bentaleb, Paulinho, Capoue; Townsend (Eriksen 64), Soldado (Kane 85), Chadli. Unused subs: Archer, Fryers, Veljkovic, McEvoy, Onomah.
Yellow cards: Dnipro - Strinic, Zozulya. Spurs - Vertonghen.
Goals: Dnipro - Konoplyanka (penalty 81).
Referee: Mr A Lahoz (Spain).