Jacqui then told the PM she was British, hence explaining her "not my prime minister" comment.
The two spoke for a further 10 minutes before ending their exchange with a hug.
The PM also took to Twitter this morning to comment on his and Jacqui's conversation.
Indeed, as Jacqui joked with me yesterday, I’m not her PM, because she’s British, Boris Johnson is. But with local MP Andrew Gee, we made a decent pitch for her to become an Aussie yesterday. She & the other RFS volunteers have been doing an incredible job battling these blazes. pic.twitter.com/28z3c4bTMG
In a Facebook post yesterday, Mr Gee explained the three laughed when Jacqui declared Mr Morrison wasn't her PM.
"Jacqui is a British, citizen, not Australian, with quite a clear British accent," Mr Gee said.
"We were jokingly trying to get her to sign up for Aussie citizenship after Jacqui lightheartedly (but correctly) pointed out that ScoMo wasn't her PM for that reason. Boris is Jacqui's PM!"
The Prime Minister made a media blitz yesterday, appearing on Australia's breakfast TV shows in the aftermath of his much criticised family vacation to Hawaii during the bushfire crisis.
Mr Morrison also spoke in Mudgee yesterday after an aerial tour taking in the "absolute incineration of such large tracts of land".
Mr Morrison said Australians "should feel very reassured" by the world-class response to bushfires.
"Wherever you are, be reassured that the effort and the co-ordination is extraordinary," Mr Morrison told reporters.
"The level of detail, whether it's in the headquarters or whether it's in the incident response centres like we are here in Mudgee, is extraordinary."
The Prime Minister spoke at the town's evacuation centre with locals who were waiting to hear if their homes — saved once already on the weekend — were again about to be in the path of the Gospers Mountain megafire after it changed direction.
Jacqui meeting the prime minister. Photo / Channel 10
Ilford family John and Nova Cunningham and their three children arrived at the Mudgee Evacuation Centre at 11pm on Saturday, and have been forced to remain in town while they wait for an update about their home.
Mr Cunningham said he thought it was "good" Mr Morrison had visited but felt he shouldn't have gone on holiday last week.
"I believe everyone is entitled to a holiday, but I think as the voice of the people he probably should have stayed," Mr Cunningham said.
"I think it's a good thing he made the time to come out though."
Running Stream farmers Diana, 73 and Keith, 76 Rutter said they were pleased Mr Morrison visited the evacuation centre but didn't think he should have cut his holiday on Hawaii short to do so.
"He shouldn't have come back from holiday early, because he's going to be needed so much more in the new year," Ms Rutter said.
"And what difference does it make? OK, it's good for morale but when he came back he would have been refreshed because he's going to have a hard time when this is over and done with, there's so much damage to NSW."
The Rutters' son is a volunteer with the RFS and has been away fighting fires since they started.
"He's a farmer so when it started he just went and he's been fighting the fires ever since," Mr Rutter said.
Mr Morrison earlier apologised for going to Hawaii with his family while the country was in the grips of the bushfire crisis.
"We all make decisions. You do as a parent, I do as a parent. We'll seek to balance our work life responsibilities and we all try to get that right," he told Sunrise yesterday.
The bushfire crisis deepened over the weekend, with firies now battling major blazes in every mainland state. The good news is the Prime Minister jetted home from Hawaii on Saturday night. And that’s about where the good news ends. pic.twitter.com/QYrbA6rjHO
