White House National Security Adviser Jake Sullivan raised the issue in a meeting with Saudi Crown Prince Ben Salman in late September. The Saudis did not outright reject the possibility of promoting normalization with Israel but stressed that such a move would take time and gave the White House a list of measures that would need to be realized sooner.
Saudi Arabia joining the "Abraham Accords" would be a very significant move that may push other Arab and Muslim countries to take a similar step. Since the entry of US President Joe Biden into the US administration, he has shown a coldness towards Saudi Arabia, especially in the wake of the assassination of Washington Post journalist Jamal Hashukaji by Saudi assassins and the human rights situation in the kingdom.
Some senior Trump administration officials have said in closed-door talks that if Trump had won the presidential election and won a second term, they would have succeeded in getting Saudi Arabia to normalize relations with Israel within 6-12 months. Former President Trump adviser Jared Kushner even met with Biden's adviser Jake Sullivan in January 2021 a few days before the new president was sworn in and encouraged him to push for Saudi Arabia to join the "Abraham Accords."