Jovanovski, of Serbia, lost the first three games before taking the next six.
In the second set, she broke serve twice but dropped her serve in each subsequent game and twice double-faulted on match points.
Also on the oudoor hard-courts of the Baku Tennis Academy, Kristyna Pliskova of the Czech Republic eliminated eighth-seeded Vesna Dolonc of Serbia 6-1, 6-2.
Pliskova fired six aces and saved all three of her break points.
Results from day two of the WTA Baku Cup (x denotes seeding):
Women's singles:
First round:
Magda Linette (POL) bt Julia Cohen (USA) 6-2, 6-3
Kristna Plskov (CZE) bt Vesna Manasieva (SRB x8) 6-1, 6-2
Shahar Peer (ISR) bt Ilona Kremen (BLR) 3-6, 6-2, 6-0
Tereza Martincova (CZE) bt Oksana Kalashnikova (GEO) 6-3, 6-7 (1/7), 6-1
Tereza Martincova (CZE) bt Oksana Kalashnikova (GEO) 6-3, 6-7 (1/7), 6-1
Nastassja Burnett (ITA) bt Anna Tatishvili (GEO) 6-2, 6-3
Tetyana Arefyeva (UKR) bt Veronika Kapshay (UKR) 6-7 (6/8), 6-0, 6-0
Bojana Jovanovski (SRB x1) bt Nigina Abduraimova (UZB) 6-3, 6-3