(CNSNews.com) - As the Biden White House sticks to its demand for a "clean" bill raising the nation's debt limit, House Republicans have differing opinions on how to resolve the looming deadline, sometime in June, when the Treasury will not be able to meets its existing financial obligations.

Rep. Kevin Hern (R-Okla.), the chairman of the Republican Study Committee, is urging his colleagues to pass a debt ceiling bill by the end of April.

In an April 12 letter to his fellow Republicans, as reported by Politico, Hern wrote that "the time for discussion is coming to an end...In just five days, House members will return to Washington. Passage of a strong debt limit bill before the end of the April legislative session must be the chamber's top priority. We must work night and day to get it passed to show the American people we can be trusted and force the Senate and White House to answer for their dereliction of duty."

But on Thursday, Rep. Scott Fitzgerald (R-Wis.) said that Republicans should be careful not to set false deadlines for themselves.

He told "Mornings With Maria," "there have been very productive discussions within the Republican Conference, and we have to make sure that Speaker McCarthy has the ability to be nimble and go in there and negotiate in good faith once -- if and when the White House steps up and starts to get serious about the whole issue."

McCarthy has had only one meeting with President Joe Biden, on February 1, and since then, the White House has shown no interest in meeting again on the debt ceiling issue.

Biden insists on a "clean" bill, while Republicans say the legislation should include future spending reductions.

"We've heard nothing from the White House," Fitzgerald said. "It's all been internal discussions within the Republican conference."  The congressman noted that some new members have not experienced debt limit discussions before, "so I think there was a learning curve early on."

And while McCarthy works to get Republican lawmakers in "a good place," Fitzgerald said Republicans should "sit back and wait for the White House, because we have no other option at this point."

He said the Republican goal is to change the spending "trajectory" from the steady increases we've seen over the last 20 years.

According to the U.S. Treasury, "The debt limit allows the government to finance existing legal obligations that Congresses and presidents of both parties have made in the past.

"Failing to increase the debt limit would have catastrophic economic consequences. It would cause the government to default on its legal obligations -- an unprecedented event in American history."