WASHINGTON — Washington Republicans tightened pressure Tuesday on Alabama’s GOP to keep a defiant Roy Moore from being elected to the Senate next month, with many voicing hope that President Trump could use his clout to resolve a problem that Republicans say leaves them with no easy options.

With Alabama Republicans reluctant to block Moore and enrage his legions of loyal conservative supporters, national GOP leaders were turning to Trump as their best chance of somehow turning the tide. Two women by name have said Moore molested them in the 1970s when one was 14 and the other 16 and he was a local district attorney, and three others said he pursued romantic relationships with them around the same time.

Senate majority leader Mitch McConnell, in all-out warfare with Moore, said there’d be conversations about the antiestablishment firebrand after Trump returns Tuesday night from Asia. He said he’d already spoken about Moore to the president, Vice President Mike Pence, and White House chief of staff John Kelly.

‘‘He’s obviously not fit to be in the United States Senate, and we’ve looked at all the options to try to prevent that from happening,’’ said McConnell, who Monday said he believed Moore’s accusers. ‘‘This close to election, it’s a complicated matter.’’’

Maintaining his political brand as an unrepentant outsider, Moore again denied abusing the women in an e-mail that reminded voters of their loyalty to him: ‘‘He’s the same man you've always known him to be.’’ It added, ‘‘On to victory!’’

At the God Save America Conference later Tuesday in Jackson, Ala., Moore made only limited reference to the reports.

‘‘Why do you think they’re giving me this trouble?’’ he asked the Baptist church audience. ‘‘Why do you think I’m being harassed in the media and people (are) pushing for an allegation in the last 28 days of the election?’’

He said there is a ‘‘spiritual battle’’ going on in American politics.

Moore was twice removed from his post as state Supreme Court chief justice, and his candidacy in the Dec. 12 special election confronts Republicans with two damaging potential outcomes. A victory saddles GOP senators with a colleague accused of abusing and harassing teenagers, a troubling liability heading into next year’s congressional elections, while an upset victory by Democrat Doug Jones would slice the already narrow GOP Senate majority to an unwieldy 51-49.

Attorney General Jeff Sessions told Congress he has ‘‘no reason to doubt’’ the women. Sessions, a former Alabama senator and still one of the most influential voices in the state, didn’t rule out a Justice Department probe of the allegations, telling the House Judiciary Committee, ‘‘We will evaluate every case as to whether or not it should be investigated.’’

House Speaker Paul Ryan joined the pile of congressional Republican saying Moore should drop out.

‘‘These allegations are credible,’’ Ryan, Republican of Wisconsin, told reporters. ‘‘If he cares about the values and people he claims to care about, then he should step aside.’’

Two Washington Republicans, speaking on condition of anonymity to describe private conversations, said they didn’t know what Trump would do, but said the White House shares McConnell’s concerns about Moore. While few think Trump could persuade Moore to step aside, several are hoping he can persuade the Alabama state party to take some action.

Despite the building pressure from national Republicans, state GOP office holders have taken a measured response or avoided commenting on the accusations against Moore.

It’s already too late to remove his name from the ballot. That leaves the state party with limited options.

The 21-member party steering committee could vote to revoke Moore’s GOP nomination and ask election officials to ignore ballots cast for him Election Day, but that would risk a lawsuit and backlash from Moore supporters. The party has little interest in alienating Moore’s followers a year before elections in which the governor’s office and entire state legislature will be in play, but it remains possible.

Also possible is a write-in campaign, but national and Alabama Republicans consider that a longshot to succeed. Alabama Secretary of State John Merrill said no write-in candidate has ever won a statewide election in the state.

McConnell praised Sessions Tuesday as a possible contender who is ‘‘totally well-known and is extremely popular in Alabama,’’ but he conceded Sessions might not choose to run.

Sessions held the Senate seat before joining Trump’s administration this year. Some Republicans said they believe Sessions is reluctant to run but expressed hope that Trump — who’s soured on him after he appointed a special prosecutor to investigate Trump’s 2016 campaign’s ties to Russia — might urge him to run.