In an interview with Stellar Magazine, admitted the encounter was "very flattering", adding that he didn't end up giving the woman his number.
"I think you're so cool and I was wondering if I could have your number," she told Robert.
A visibly chuffed Robert laughed before telling Megan: "Well I'm very flattered, thank you!" before diverting the conversation and asking where she was from.
The woman said she was from the US state of Utah.
"Cool, yeah, nah Utah's great," Robert responded.
WATCH: Robert Irwin looks just like dad Steve in fun lake video
The conservationist then told Megan that the "easiest way" she could get in touch with him is via his Instagram DMs.
"Then my people can look at it and monitor it and see what comes through because my number's hit and miss," he said.
But their encounter then took a slightly more awkward but hilarious turn.
"Oh my God this is so random but I actually DM'd you last night to tell you I was coming here today," Megan responded.
"He's just like his dad so sweet and precious," said another.
A day after her video went viral, Megan appeared on the Today Show where she revealed that she didn't receive a response from Robert.
"I think it definitely paid off because I got the opportunity to meet Robert, which is really cool," she told Karl Stefanovic and Brooke Boney.
"I definitely was not expecting it to blow up the way it did but it was a really cool experience altogether and Robert was so sweet about it."
This article first appeared on our sister site, Now To Love.