The hype around Robson kicked into overdrive this evening after she became the first British woman to reach the fourth round of the Wimbledon singles in 15 years.
The 19-year-old pulled off a remarkable comeback to defeat hard-hitting New Zealander Marina Erakovic in front of a noisy partisan crowd on Court Two.
Given her status as the darling of British tennis, Robson will no doubt be placed on one of the big show courts for the last-16 clash and supporters will once again turn up in their droves.
That would normally strike fear into the heart of her opponent, but Kanepi vowed to thrive under the pressure rather than buckle as Erakovic did on Saturday.
"It's not scary," the Estonian said.
"I actually like to play more on the big courts than on the small ones because then I feel like I'm playing a real tennis match.
"I like it. All the crowd will be against me, but I think I'm going to enjoy that.
"I have had this feeling before, like when we played Fed Cup in Belgium.
"They were all against me then. Sometimes I get more power and fighting spirit if people are against me."
Although Robson's popularity has risen due to the quality of her tennis, the Australian-born player's following has also mushroomed due to the messages of encouragement she has received from members of the boy band One Direction.
It is safe to say that, unlike Robson, Kanepi is not a fan.
"One Direction? I don't know who they are," said the bemused 28-year-old.
Robson has good reason to fear Kanepi ahead of Monday's meeting.
The Estonian is ranked eight places behind Robson, but she has reached the quarter-finals at Wimbledon before.
Three years ago the right-hander, who rose to 15th in the rankings last summer, reached the quarter-finals, defeating sixth seed Samantha Stosur before losing to Petra Kvitova in the last eight.