The Senate Conservatives Fund says Senate Majority Leader Mitch McConnell needs to be replaced after failing to follow through on his promise to repeal Obamacare "root and branch" and tackle other items at the top of President Trump's legislative agenda.

"Now is the time to replace Mitch McConnell. Not next year. Not in 2020. Right now," the group said Thursday. "Otherwise, Republicans will squander this historic opportunity to enact conservative reforms."

The conservative organization said contrary to McConnell's comments about the president earlier this week, it's the majority leader, not Trump, who has created expectations Republicans haven't been able to meet.

"It was Mitch McConnell who promised action on many issues if only the voters would give Republicans unified control. It was Mitch McConnell who spent seven years promising to repeal Obamacare ‘root and branch.' And it was Mitch McConnell who outlined a plan back in January that promised Obamacare repeal by early April, border wall funding by the end of April, and tax reform by August," the Senate Conservatives Fund said.

"Yet it's now the second week of August, none of these things have been done, and Mitch McConnell is making excuses and blaming others while the Senate is on a month-long recess."

On Monday, McConnell told attendees of a Rotary Club meeting in Kentucky that because Trump didn't have experience working with Congress, he had "excessive expectations" for the legislative process.

The majority leader's comments drew Trump's ire, and the president criticized McConnell several times on Twitter by telling him Thursday to "get back to work."

When speaking to reporters that day, Trump declined to say whether he thinks McConnell should step down as majority leader. Instead, the president urged the media to ask him the question again should McConnell fail to act on Obamacare's repeal and replacement, tax reform, and infrastructure.

Despite Trump's comments and the appeal from the Senate Conservatives Fund, calls to replace McConnell haven't gained traction. Several GOP senators defended McConnell Thursday and called for unity among the Republican Party.