The result means that Kyiv will advance to the next stage if they avoid losing to Zeljeznicar NLB next week.
A defeat to Zeljeznicar would leave all three teams with 2-2 records and a goal differential tie-breaker would be used to determine the two sides to progress.
Leading 30-24 at half-time, the Ukrainian team reeled off eight consecutive points when play resumed and ended up outscoring Dnipro 24-6 in the frame to grab the game by the scruff of the neck.
Marinela Agalareva led the Kyiv scorers with 15 points and six rebounds.
In Group B, Gran Canaria solidified their grip on first place with a 78-40 demolition of Dexia W Namur.
Morgan Warburton finished with 17 points and Mireia Navarrete contributed 11 along with eight rebounds for the Spanish side.
ZKK Medvescak routed Olivais Coimbra 85-72 in the other Group B contest on Wednesday.
The Zagreb club, playing at home before a sparse crowd, opened up a 28-14 lead by the end of the first quarter and cruised to victory.
Mirna Mazic had a very impressive 26-point, 20-rebound performance for the winners, who improved to 2-3 while dropping the Portuguese outfit to 1-4.
Sdent Sierre Basket are assured of progressing to the next stage of the competition along with USO Mondeville after winning for the fourth time in Group A.
Ofelia Villarroel had 26 points and 12 rebounds for Sdent, who improved to 4-1 with a 69-46 triumph over Vagos (1-4).
Mondeville had already booked their place in the next round and were without key players through injury.
They suffered their first defeat in the competition, falling at home to Seat Györ, 61-44.
Anna Vida scored 26 points for the winners from Hungary.
Czech Republic international Petra Manakova scored 23 points for Saarlouis Royals as they won 81-74 at Nyon Basket.
With the win, German club Saarlouis moved into second place in Group D,.
In Group A, Lattes Montpellier, having already sealed their spot in the next round, remained undefeated in the EuroCup Women at 5-0 after an 81-71 triumph over Ruzomberok (3-2).