Photo Vice President Mike Pence might be needed to break a tie vote on tax overhaul legislation this week in the Senate.
The vice president's trip has been complicated due to the uproar in the Middle East over President Trump's recent decision to recognize Jerusalem as the capital of Israel.
As vice president, Pence presides over the Senate and would cast a tie-breaking vote in the case of a tie.
Greenblatt, who has held several rounds of discussions with Israeli and Palestinian officials during the past few months in an effort to restart peace talks that have been frozen since 2014, is also due to arrive this week.
Pence's Middle East mission has also become more hard following President Trump's decision to recognize Jerusalem as the capital of Israel.
The change of plans comes days after Palestinian officials cancelled their meeting with Pence in the West Bank following Trump's decision last week to move the USA embassy to Jerusalem from Tel Aviv.
US Republicans Call for Probe Into Trump Jr. Congressional Testimony Leaks
The network reported two days after Trump Jr.'s meeting that he was sent an email on September 4, 2016 offering access to stolen DNC documents.
The White House warned that cancelling the meeting in the West Bank would be "counterproductive", but Abbas has been under heavy domestic pressure to shun Pence following Trump's announcement.
Officials denied that Mr Pence's decision was motivated by a wave of deadly protests in the wake of Trump's deeply controversial decision to declare Jerusalem as Israel's capital.
Pence was also scheduled to meet with Egyptian President Abdel Fattah el-Sisi, Israeli Prime Minister Benjamin Netanyahu and Israeli President Reuven Rivlin and to deliver a speech to the Israeli Knesset. Pence was ending his trip to Israel with a meeting with Israeli President Reuven Rivlin and a visit to the Yad Vashem Holocaust memorial.
"The vice president is committed to seeing the tax cut through to the finish line", said Alyssa Farah, Pence's press secretary, in a statement.
But White House officials said any delay in the tax vote might have prevented the vice president from departing Washington on time and complicated a tightly-orchestrated set of meetings in Egypt and Israel.
The tax bill is expected to come to a vote in the House Tuesday.
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