Australia’s baldest frontbencher Peter Dutton has accused Anthony Albanese of having “the full comb-over going on” as he described Labor as “serial offenders” for time-wasting political referrals to the police.

Defending Prime Minster Scott Morrison’s decision not to stand down Energy Minister Angus Taylor, Mr Dutton then turned his head to hair loss and the Labor leader on Sydney’s 2GB radio on Thursday.

“He’s got the full comb-over going on,” he said.

“Look mate, for better or worse, it is sad but I’ve had to accept my fate. I could’ve gone the Albo comb-over, I guess, but I decided to shave it off.

“Anyway, each to their own. We grow old somewhat gracefully. I turned 49 last week; I feel much older.”

Hear the full Peter Dutton interview:

Mr Dutton’s revelations then prompted a confession from 2GB presenter Ray Hadley that in his spare time he likes to sneak up behind random balding men and secretly photograph their combovers for personal entertainment.

In Thursday’s interview, Mr Dutton also accused Labor frontbencher Mark Dreyfus QC of being a serial offender for wasting police time with political referrals designed to play politics.

“Don’t forget this is the ninth occasion Mark Dreyfus has referred somebody,” he said.

“Of the eight he’s referred, so far none of them have gone anywhere.”

Mr Dutton, a former Queensland drug squad cop, also described Mr Morrison’s phone call to NSW police commissioner Mick Fuller over the Angus Taylor “doctored documents” saga as “entirely appropriate”.

Mr Dutton said it was “ridiculous” to suggest the Prime Minister had tried to influence the NSW Police investigation in Mr Taylor’s supposed use of a forged document to attack Sydney lord mayor Clover Moore.

“I think it’s entirely appropriate he called to get an update on what was happening, and the PM has a responsibility to decide whether or not he stands ministers aside,” Mr Dutton said.

“It was very clear he wanted to get that detail and he did it appropriately.”

Mr Dutton also refused to reveal Tasmanian senator Jacqui Lambie’s secret condition for her support for the medevac legislation, which is believed to involve settlement options in New Zealand.

“I think Jacqui can support the bill and she should support the bill, because we’ve brought people to our country who are of bad character,” he said.

“There are six people here who we are worried about and 10 on the way that, under the law, we have no ability to stop. They are people we, as a government, don’t want in our country.”