Eugenie Bouchard, who has reached the semi-finals of the Australian Open and French Open in 2014 and is quickly becoming a fans' favourite, plays Silvia Soler-Espinosa on Court No.2 after those two men's matches have finished.
After that, Britain's Heather Watson faces ninth seed Angelique Kerber, and then seven-time men's champion Roger Federer takes on Gilles Muller.
World No.1 Rafael Nadal plays in the second round on Centre Court against Lukas Rosol - the man who sensationally knocked the Spaniard out of the tournament at this stage on this court in 2012.
Those two will return tomorrow on day four.
Elsewhere, Sam Querrey is edging to a five-set win against Wimbledon favourite Jo-Wilfried Tsonga, while the Williams' sisters are into a deciding doubles set.
Eighth seed Victoria Azarenka is out after losing a deciding set 7-5 to Bojana Jovanovski. Great Britain's Naomi Broady is about to start her second round clash with Caroline Wozniacki on Court No.1
And Djokovic hits long! Superb from Stepanek, he's right back in this one.
Set point Stepanek. Worked his way back into this.
Tsonga loses the first set to Querrey. Meanwhile, Djokovic is working his way to victory in the third set tie-break.
In all the drama, what else has been going on around the courts? Well, Djokovic is locked with Stepanek at 5-5 in the third set, while Azarenka has broken back against Jovanovski in their final set. Jo-Wilfried Tsonga has not started well against Sam Querrey and the Frenchman is a break down already...
WOW. What a game from Kuznetsov. Two power serves and two stunning forehands down the line ensure his place in the third round and David Ferrer is OUT of Wimbledon. Amazing stuff on Court No.2!
A triple-break in this fifth set and Kuznetsov is now serving to knock out the number seven seed. Superb drama at SW19..
Kuznetsov gets his second break in the fifth set. Can Ferrer respond?
Meanwhile, Berdych sneaks the second set against Tomic on a tie-break. All square on No.1 Court
Elegant finish from Djokovic and he's two sets up against Stepanek. This one going five sets? Probably not.
Great response from Ferrer. A break back followed by a solid hold. No.2 Court-goers getting a real treat today..
Not so much for David Ferrer, though. He's just lost the fourth set to Andrey Kuznetsov and is already a break down in the fifth and deciding set. Is the Spaniard going out?
Djokovic a break up in the second and this match is looking firmly in his grasp...
Third set point for Djokovic...