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By Dana Bash and Ted Barrett, CNN

updated 5:11 PM EST, Mon December 8, 2014

Senate Minority Leader Mitch McConnell (2nd R) (R-KY) answers questions on Capitol Hill in September.

(CNN) -- They called it the "nuclear option" when Senate Majority Leader Harry Reid and Democrats changed Senate rules this year to make it easier to confirm long-stalled executive and judicial branch nominees.

Now Senate Republicans will hold a special closed meeting Tuesday afternoon to weigh whether or not to change the filibuster rules back when they take control of the Senate in January, according to a GOP aide.

Related: 5 ways life changed after the Senate nuclear option

While many Republicans have pushed to change the rules back -- so that 60 votes again would be required to break a filibuster of most presidential executive and judicial appointments -- others have signaled Republicans might not try to change the rules.

In fact, Sen Orrin Hatch of Utah, a senior Republican on the Judiciary Committee who is influential with GOP senators on these matters, wrote in Monday's Politico that despite being a "Senate institutionalist" he no longer feels the rules should be changed back because doing so would reward Democrats for skirting the rules, allowing them to "pack important courts" with "far-left judges."

"Republicans would need 60 votes to confirm their nominees (should a Republican win the White House), while Democrats needed only 51 vote to confirm their own picks," Hatch wrote. "Such a partisan double-standard makes no sense and would cause irreparable harm to our third branch of government."

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GOP will consider undoing Democrats' 'nuclear option'