Republican nominee Donald Trump pushed back on the dozens of GOP lawmakers and leaders calling on him to be replaced as their nominee in light of past vulgar comments he made about women resurfacing in the news media.

On Twitter Trump vowed Saturday to stay in the race and struck back at the the media and the "establishment."

"The media and establishment want me out of the race so badly - I WILL NEVER DROP OUT OF THE RACE, WILL NEVER LET MY SUPPORTERS DOWN," he wrote.

In a 2005 video, first released by the Washington Post on Friday, Trump is overheard on a hot mic talking with a celebrity gossip show anchor as he arrives on set of a soap opera, where he was set to make a cameo appearance.

Trump makes several lewd remarks about women, including how he attempted to have sex with a married women and how many women let him aggressively hit on them because he's "a star."

After the Post's report, Trump released a video apologizing for the comments.

Even so, dozens of GOP lawmakers and leaders have distanced themselves from Trump, some of whom have even called on the Republican National Committee to replace him as the nominee, including Utah Sen. Mike Lee, South Dakota Sen. John Thune and Alaska Sen. Lisa Murkowski.