When it was put to him that Mr Joyce was not going anywhere, Senator Cormann replied: "That is clearly what he is saying".
"We just keep doing the job that we were elected to do, do the best we can to secure more jobs and higher wages," he told Nine Network.
Mr Cormann said the nation needed to move on from the saga.
"We must move on. The country wants us to move on, we must move on, we need to focus on the things we were elected to do," he said.
"Our next priority is to get our business tax cuts through the Australian Senate so that Australian businesses can be globally competitive."
Mr Joyce is defying anyone suggesting he stand down as Nationals leader in the wake of the breakdown of his 24-year marriage and relationship with Vikki Campion who is having his baby.
WA Nationals state leader Mia Davies issued a statement on Tuesday telling Mr Joyce, who is also Deputy Prime Minister, to go.
"Mr Joyce's actions have caused pain for his family but it is the ongoing damage Mr Joyce is causing the Nationals organisation that is of greatest concern to me as WA leader," she said.
Mr Joyce pointing out that WA didn't have any federal MPs and that the eastern states, which had more "skin in the game", supported him.
"I find it surprising that a federal issue has so much momentum in the west, when people in the east in the National Party have, in the majority, a different view," he said.
While the WA branch does not have any federal MPs it was second only to the NSW branch in raising political donations last financial year, receiving $1.79 million.
The NSW and Victorian Nationals both say the federal leadership is a matter for federal MPs.
"Further commentary on this issue in the public domain is unhelpful," the NSW branch said in a statement.
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This article skips the biggest point of annoyance for most people. When Mr Joyce and his employee began their affair, a high level of angst developed in his office. To avoid that, a new, high paid position was created in another ministers office. When that minister resigned, a second high paid job was created in another ministers office. Neither position existed before or after her appointment and dismissal.
Australian ministerial rules preclude creation of jobs for partners or spouses. Mr Joyce says this lady was not his partner when the jobs were created, even though they were cohabiting.
Mr Joyce also berated young people who can't afford to buy a house / apartment. He suggested they move to country towns and cities. However, despite his $400,000 a year salary, he opted to live rent free in a party donors townhouse, on the pretext he couldn't afford his own rental.
Mr Joyce has displayed arrogance and greed well beyond what most people can accept in a politician. That is why he must go.