The Catholic church worldwide is reeling from crises involving sexual abuse of minors, deeply damaging confidence in the church in the United States, Chile, Australia and Ireland where the scandal has hit hardest, and elsewhere.
The US prelate was removed and ordered to live a lifetime of penance and prayer by Pope Francis after a church investigation determined that an allegation he groped a teenage altar boy in the 1970s was credible.
Vatican spokesperson Greg Burke said DiNardo and O'Malley would meet with Francis on Thursday in the Apostolic Palace.
A top Vatican official says the clerical sex abuse scandal is such a game-changing catastrophe for the Catholic Church that he called it the church's "own 9/11" on the 17th anniversary of the attacks in the U.S.
Cardinal Donald Wuerl was named in Philadelphia's grand jury report into sex abuse in the Catholic Church as someone who had allowed priests to continue working despite allegations of sexual assault during his time as Archbishop of Pittsburgh.
Mr DiNardo has said recent accusations of top Vatican officials, including the current pope, covering up for McCarrick deserve answers.
Archbishop DiNardo also has said the church must answer accusations by the former Vatican ambassador to the USA that Francis and other top Vatican officials have covered up for Archbishop McCarrick since 2000.
Francis' key cardinal advisers announced the decision Wednesday, a day before Francis meets with USA church leaders, who are facing fresh accusations following the bombshell grand jury report. Many cases were not brought to justice, and sometimes abuse suspects - primarily priests - were moved to other dioceses without new congregations being informed about the pastor's past, they said.
The Vatican announcement came a day before Pope Francis is to meet with U.S. Catholic Church leaders. His statement said the group told Francis the US church was "lacerated by the evil of sexual abuse".
Cardinal Di Nardo has said he wants Francis to authorize a probe of Archbishop McCarrick.
The Vatican has known since at least 2000 that McCarrick would invite seminarians to his New Jersey beach house and into his bed. Two of those allegations resulted in settlements, the bishops said. The priest is now the pastor at St. John Fisher Catholic Church in Richmond while also serving as the archdiocese's episcopal vicar for Hispanics.
In a statement afterwards, DiNardo said they told the pope of "our situation in the United States - how the Body of Christ is lacerated by the evil of sexual abuse".