Former Alabama chief justice and Senate candidate Roy Moore sent strong signals Tuesday that he is mulling a second Senate run next year. (Brynn Anderson/AP)

Roy Moore wants a rematch against Sen. Doug Jones. And Donald Trump Jr. isn’t having it.

Moore, the Republican who fell short in his 2017 race against Jones (D-Ala.) amid allegations of sexual misconduct in the 1970s, sent a pair of tweets on Tuesday that are the strongest signal yet that he is planning another Senate bid.

After fellow Republican Rep. Bradley Byrne (Ala.) predicted that Moore would lose the party’s primary if he joined the race, Moore responded by asking, “What is Bradley so worried about?”

“He knows that if I run I will beat Doug Jones,” Moore added, prompting Trump Jr. to weigh in. “You mean like last time?” the president’s son said in a tweet.

He called Moore “literally the only candidate who could lose a GOP seat in pro-Trump, pro-USA ALABAMA.”

“Running for office should never become a business model,” Trump Jr. said. “If you actually care about #MAGA more than your own ego, it’s time to ride off into the sunset, Judge.”

Byrne, who has announced a bid for the seat, told the Hill newspaper that sources close to Moore have told him the former Alabama Supreme Court justice will announce his candidacy in June.

Moore has inched closer to a 2020 Senate run in recent months. A Facebook page, “Stand with Judge Roy Moore,” posts frequent updates related to Moore. The page recently shared a post by Moore’s wife, Kayla, about a University of Virginia analysis showing that it is “far from guaranteed” that Jones would prevail in a rematch against Moore.

Earlier this month, Kayla Moore also signed a fundraising message citing the confirmation of Supreme Court Justice Brett M. Kavanaugh as a reason Moore might run again.

The message pointed to Kavanaugh’s ability last year to “survive” accusations of sexual misconduct in the 1980s and says Moore is still “seriously considering another run for the United States Senate!”

Moore did not respond to requests for comment Tuesday night.

A month before the 2017 special election, The Washington Post reported that four women accused Moore of pursuing them when he was in his 30s and they were teenagers. Moore is facing a defamation lawsuit from one of the women, Leigh Corfman, who alleges that Moore sexually abused her when she was 14. Moore has denied all of the allegations and has filed a counterclaim against Corfman.

In addition to Byrne, other Republicans who have announced they are running for the seat include former Auburn football coach Tommy Tuberville, state Rep. Arnold Mooney and former televangelist Stanley Adair.

John Wagner contributed to this report.