"Senator @lisamurkowski of the Great State of Alaska really let the Republicans, and our country, down yesterday. Too bad," he tweeted.

Murkowski and Sen. Susan Collins of Maine were the only two GOP senators to vote against a procedural vote backed by Senate Majority Leader Mitch McConnell Tuesday afternoon. They were also among the nine Republicans who voted Tuesday night against the Better Care Reconciliation Act, a version of the health care overhaul bill.

Murkowski responded to Trump Wednesday afternoon.

"Every day shouldn't be about campaigning," the Alaska senator added. "Quite honestly, I don't think it's wise to be operating on a daily basis thinking about what -- a statement or a response -- that causes you to be fearful of your electoral prospects."

Notably, Trump has not yet publicly criticized Collins on social media in the wake of Tuesday's vote.

But the President subtly warned Republicans that their political futures could be in jeopardy if they don't support his efforts.

"Any senator who votes against repeal and replace is telling America that they are fine with the Obamacare nightmare, and I predict they'll have a lot of problems," he said at a rally in Youngstown, Ohio, Tuesday night.

For her part, Murkowski noted to MSNBC that she is not up for re-election again until 2022, "a long time away."

Trump has publicly pressured other members of his own party who haven't backed him on health care.

At a recent White House meeting, the President predicted that Sen. Dean Heller, who is facing a tough re-election fight in 2018, would reverse himself and vote to advance the GOP's health care bill.

Back in March, Trump called out House members when the chamber was debating the issue.

He added: "Where are @RepMarkMeadows, @Jim_Jordan and @Raul_Labrador? #RepealANDReplace #Obamacare."

CNN's Dylan Stafford contributed to this report.

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Trump calls out Murkowski over health care vote - CNN