Jerusalem (CNN) -- Palestinian Authority President Mahmoud Abbas does not plan to run for re-election in January, he told the executive committee of the Palestine Liberation Organization on Thursday, an Abbas adviser said.

But the PLO rejected his decision and will support him again anyway, adviser Yasser Abed Rabbo said.

The presidential election is scheduled for January 24.

Israeli Prime Minister Benjamin Netanyahu's office said Thursday that it would not comment on the internal Palestinian political process, as it would not be appropriate.

Abbas' threat is not new.

Chief Palestinian negotiator Saeb Erakat said Sunday that he believed that Abbas was serious about not running for a new term when Palestinians next elect a leader.

"He feels betrayed by Arabs, Israelis, some Palestinians and to a certain extent by the Americans," Erakat told CNN's Christiane Amanpour.

The Palestinian leadership has recently displayed open frustration with the United States and the long-moribund peace process with Israel.

Officials including Erakat responded angrily when U.S. Secretary of State Hillary Clinton praised Israel's agreement to limit settlement-building as "unprecedented."

Clinton later clarified that the United States "does not accept the legitimacy" of building Israeli housing on occupied Palestinian land