Liberal powerbroker Alex Hawke reignited the debate on Sunday, calling for consideration of "intelligent" quotas to address the low numbers of Liberal women in Parliament.
Asked if he supported quotas, Mr Morrison said the federal cabinet now boasted the highest number of women in history and 19 women had been preselected to represent the party at the next election.
"I have no problem filling seven slots for women in my cabinet and potentially more because I've got so many great women to choose from," Mr Morrison told reporters in Sydney on Monday.
Just 19 of the Liberal Party's 82 federal MPs are female.
Flanked by Environment Minister Melissa Price and Foreign Minister Marise Payne, Mr Morrison said more women could be promoted if the Coalition wins the looming election.
