"You have five minutes to decide after the second singles", said Hewitt, who added that Kyrgios' form was too good to leave him out of the deciding match.
For de Minaur, that meant going nearly directly back on court for Australia.
Nick Kyrgios claimed Australia's dramatic ATP Cup victory over Great Britain ranked as one of the best moments of his career after helping Alex de Minaur defeat Jamie Murray and Joe Salisbury in the decisive doubles rubber. "The adrenaline has kind of worn off and I'm exhausted after that match".
The second set was a complete reversal, with Kyrgios and De Minaur taking it by the same score as they had lost the opening set.
"Today was probably one of the best moments of my career, definitely".
English tennis writer Stuart Fraser tweeted of Kyrgios' earlier performance when he obliterated Cameron Norrie in his quarter-final singles' match: "If they could convince Nick Kyrgios that the Australian Open is a team event, then he would win it. I knew that if I was going to step out on the doubles court, then I was going to make sure that I was going to be fired up, ready to go, and full of energy", De Minaur said.
Nick Kyrgios of Australia falls to the ground after winning his singles match against Stefanos Tsitsipas of Greece on day 5 of the ATP Cup tennis tournament at Pat Rafter Arena in Brisbane, Australia, Tuesday.
"That was the most stressful tie-breaker I've ever been involved in", Kyrgios said.
The underdog Brits came within inches of the upset.
With Kyrgios encouraging the home crowd to make even more noise with gestures from the bench, it was Evans who seemed to feed off the atmosphere, with a handsome lob and stinging forehand victor at the net setting the tone as the Briton set up another four match points. "We hung in and we did well".
"We genuinely care for each other, and [our team-mates] were genuinely just so ecstatic to get through".
"I didn't mean to do it and straight away forgot about it and moved on from there".
In the second quarter-final, Karen Khachanov continued his hot run of form and got the ball rolling for Russian Federation by beating an out-of-sorts Guido Pella 6-2, 7-6 (7/4).
"We made our job".
"I am on probation, so I got to stay in check".
Residents were being evacuated in towns south of Sydney as the ATP Cup quarterfinal match was being played Thursday.
Spain and Belgium clash on Friday night, after the Novak Djokovic-led Serbia take on Canada in that day's first quarterfinal.