But the love and admiration might not stop at online banter: they might unite on the doubles court.
"Give the people what they want, play for the crowd a little. All people want is Keegs and Muzz, give the people what they want," Kyrgios said.
"We played well in IPTL didn't we?" Murray said, referring to the now-defunct International Premier Tennis League.
"You're a living legend man," Kyrgios said "Look from a fan and for someone who played, I don't really care about Djokovic, [Rafael] Nadal or [Roger] Federer. We love you. Ordinary people like us love you."
"Well maybe we can tee up once together, let's tee it up and only if you promise to behave, which you said you were going to before we did the Instagram Live," Murray said, about teaming up.