Two-time Wimbledon victor Petra Kvitova got her grass season off to a positive start with a 6-2 6-3 win over compatriot Tereza Smitkova.
Konta, 26, is pursuing a first WTA title on grass having lost to Croatia's Donna Vekic in the final of the Aegon Open in Nottingham last week. At one point she called for the doctor but said she was absolutely fine after the match.
British No.1 Konta had to rally hard to secure her victory against Lesia Tsurenko.
But Konta, who is playing in the Aegon Classic at Edgbaston this week, says that she will not be embracing any of the likely hype and intends to try to prepare as normal - inside her "bubble". "She's got a lot of fire power, a lot of weapons".
"It feels great! I love playing on the grass - it's my favorite surface".
Remarkably, each match on centre court tomorrow contains a player from the Czech Republic: Kvitova, Katerina Siniakova, Barbora Strycova and Lucie Safarova. And I know she enjoys the grass. "I'm happy that I have everything done with the media and the pressure and everything with the comeback in Paris".
"I think the grass here is a little bit faster than in Nottingham".
The Czech will face Britain's Naomi Broady in the next round after she beat France's Alize Cornet on Monday. I think that I served well and I played good shots from the baseline. Nonetheless her serve and forehand still looked strong on the English lawn. "And yeah, I enjoyed my time on the centre court". We still have days off to work on my hand, and it was very good today. "I'm really happy to play on it again and be able to play here in Birmingham".
The prospect of Johanna Konta becoming the first British woman to win Wimbledon in 40 years is certain to generate plenty of focus on the world number seven as next month's tournament draws close.
Sixth seed Garbine Muguruza was also tested by qualifier Elizaveta Kulichkova but came through 6-3, 3-6, 6-4.