"Your leader is coming over to see me very soon," Mr Trump told the ABC reporter while speaking to journalists as he left the White House en route to the United Kingdom.
Mr Trump did not mention when he would meet Mr Albanese.
The prime minister is preparing to travel to New York in the coming days for the United Nations General Assembly meeting in New York, where a face-to-face with Mr Trump on the sidelines is a possibility.
Mr Trump's comments came after he objected to questions being asked by the ABC reporter about whether it was appropriate for a US president to be "engaged in so much business activity" while in office, saying his children "are running the business".
"In my opinion, you are hurting Australia very much right now," Mr Trump said.
"And they want to get along with me.
"You know, your leader is coming over to see me very soon.
"I'm going to tell him about you.
"You set a very bad tone."
Mr Trump praised Mr Albanese as a "good man" after the two leaders held their fourth one-on-one phone call earlier in September.
The prime minister described his call with Mr Trump as "really warm".
A face-to-face meeting between the two leaders had been planned on the sidelines of the G7 summit in Canada in June but was cancelled after Mr Trump returned to the US early to deal with the Iran-Israel conflict.
The UN's "high-level week" starts in New York on September 22.
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