"He's still looking at a lot of different facts, and then when he makes his decision, he'll be the one to want to tell you, not me," Kushner said at an annual conference on US policy in the Middle East organized by the Brookings Institution think tank in Washington.
A senior administration official said last week that Trump could make the announcement on Wednesday. Kushner is leading Trump's efforts to restart long-stalled Israeli-Palestinian peace talks, efforts that so far have shown little progress.
Past US presidents have insisted that the status of Jerusalem -- home to sites holy to the Jewish, Muslim and Christian religions -- must be decided in negotiations.
Trump weighs recognizing Jerusalem as Israel's capital
The Palestinians want Jerusalem as the capital of their future
state, and the international community does not recognize Israel's claim on all of the city.
Any move by the United States to recognize Jerusalem as Israel's capital would fuel extremism and violence, Arab League Secretary-General Ahmed Aboul Gheit said on Saturday.
A senior Jordanian source said on Sunday that Amman, the current president of the Arab summit, has begun consultations on convening an emergency meeting of the Arab League and the Organisation of Islamic Cooperation before Trump's expected declaration this week.
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