The statement was attributed to press secretary Sarah Huckabee Sanders.
Donald Trump will become the third sitting U.S. president to address anti-abortion activists at the annual March for Life on Friday.
The White House said it supports a short term funding extension, though it would prefer a long-term solution.
Asked if the White House was afraid of what Bannon might say, Sanders replied, "not that I'm aware of."
"Steve's greatest asset is that he was able to convince a corrupt media that he was responsible for my win," Trump said in an interview.
The briefing came as senators announced that they had reached a bipartisan immigration deal.
The event with Norway's Erna Solberg was the president's first press conference of the new year.
Multiple reports on Monday indicated that Trump's legal team is bracing for an encounter with Mueller, New York Magazine reports.
President Trump often begins his official work day around 11 a.m., according to Axios.
Trump's remarks about Bannon earlier Thursday were muted compared with the statement he released Wednesday in response to Bannon's comments.
U.S. stock futures were higher this morning, after the Dow, S&P 500 and Nasdaq all saw fresh record highs in yesterday's session.
Trump signed an executive order dissolving his voter fraud commission, citing the refusal of some states to provide voter information.
The first week of the new year for President Donald Trump's administration got off to an explosive start Wednesday.
White House Press Secretary Sarah Huckabee Sanders called the claim, by former strategist Steve Bannon, a "ridiculous assertion."
The briefing came as official Washington was reeling from wild claims about Trump's White House contained in a forthcoming book.
President Donald Trump boasted that he has a bigger and more powerful "nuclear button" than North Korea — but he doesn't actually have a physical button.
The last year gave us some whopping deals, including Amazon.com’s acquisition of Whole Foods, that will shape the business landscape in 2018.
From hurricanes to wildfires, disasters this year tested the military as concerns grew it's already stretched too thin.
The briefing came as both the House and Senate undertook final votes on the GOP tax bill.
The briefing came as Alabama voters went to the polls in a hotly contested Senate race.