The House minority leader, Nancy Pelosi, has invited the Golden State Warriors to visit the Capitol amid speculation the newly crowned NBA champions may skip the traditional White House visit.

Pelosi, who represents California’s 12th congressional district not far from the team’s Oakland headquarters, tweeted: “The @Warriors’ leadership is inspiring. I’d be honored to welcome the team to the U.S. Capitol.”

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The invitation appeared to be in response to an unconfirmed CNBC report that Golden State made a unanimous team decision to skip meeting Donald Trump at the White House.

The Warriors did not deny the report when reached on Tuesday morning, but said they had yet to receive an invitation to the White House, a courtesy that has been extended to every NBA title team dating back to when Ronald Reagan was in office.

“Today is all about celebrating our championship,” the team said in a statement to the Guardian. “We have not received an invitation to the White House, but will make those decisions when and if necessary.”

The Warriors defeated the Cleveland Cavaliers to capture their second title in three seasons on Monday night, prompting conjecture over whether the team would make the traditional visit after several key members spoke out against Trump during the campaign and his presidency.

Golden State coach Steve Kerr has been among the most vocal figures in sports against Trump’s policies, most notably his proposed ban on travelers and refugees from six Muslim-majority countries.

“I would just say that as someone whose family member was a victim of terrorism, having lost my father, if we’re trying to combat terrorism by banishing people from coming to this country, by really going against the principles of what our country is about and creating fear, it’s the wrong way of going about it,” said Kerr whose father, Malcolm, was killed by two gunmen in 1984 while he was president of the American University of Beirut. Islamic Jihad, a precursor of Hezbollah, later claimed responsibility for the murder. “If anything, we could be breeding anger and terror. So I’m completely against what’s happening.”

Stephen Curry, the two-times Most Valuable Player and face of the team, made his feelings clear when asked to respond to comments from the chief executive of Under Armour, his primary sponsor, that Trump is “a real asset” to the country.

“I agree with that description, if you remove the ‘et’,” Curry said wryly.

Reserve guard Shaun Livingston was even more to the point in a February radio interview. “I really feel that my views would keep me from going and visiting,” he said. “Just with everything that’s going on right now, I just don’t agree with a lot of stuff that’s happening.

“I definitely wouldn’t go.”

John F Kennedy was the first president to host the NBA champions when the Boston Celtics visited in January 1963, but it became an annual occurrence under Reagan’s administration, including Golden State’s visit with Barack Obama after winning the 2015 title.