The Jerusalem Post said Israel Radio reported Monday Abdullah also told writers and academics in Amman Jordan would support the Palestinian right to statehood.
The Jordanian newspaper al-Rai's Web site reported Abdullah also said Jordan has not been pressured by the United States on the Palestinian bid for statehood.
In an interview with al-Rai Sunday, Palestinian Authority President Mahmoud Abbas denied any rift between Jordan and Palestinian leadership on the planned Sept. 20 bid for statehood.
That came two weeks after the Saudi Arabian newspaper al-Madina reported Abdullah urged Abbas to reconsider the Palestinian statehood bid.
The newspaper said Abdullah consulted with international lawyers, then told Abbas declaring a Palestinian state could mean millions of refugees could lose their right to return to their original homes inside Israel's borders.
If the U.N. approves the statehood bid, the Palestinians will press ahead with their demand for millions of refugees to return to their original homes in Israel, Abbas said Sunday.