British Prime Minister Liz Truss and Israeli Prime Minister Yair Lapid hold a bilateral meeting as they attend the 77th U.N. General Assembly in New York, Wednesday, Sept. 21, 2022. AP
The Prime Minister appeared to be following Donald Trump as she discussed the possible move with Yair Lapid during a meeting at the United Nations summit in New York on Wednesday.
Britain has long maintained its Israel embassy in Tel Aviv despite Israel designating Jerusalem as its capital.
Mr Trump, when US president, sparked controversy by moving the US embassy to Jerusalem in 2017.
A Downing Street spokeswoman said Ms Truss informed Mr Lapid "about her review of the current location of the British Embassy in Israel".
Lapid tweeted his thanks to the British leader for considering the move. “We will continue to strengthen the partnership between the countries,” he said.
Then the Foreign Secretary, she made the pledge during the Tory leadership contest in a letter to the Conservative Friends of Israel.
Ms Truss said she understood the "importance and sensitivity" over its location.
Serbia and Kosovo in 2020 opened a rift with the European Union by deciding to set up embassies in Jerusalem.
Ms Truss is meeting world leaders for the first time at the summit in the US.
On Wednesday, she held talks with Joe Biden, the US President, who told her: "You're our closest ally in the world."
A spokesman for the Prime Minister said the pair agreed to end energy dependence on Russia and support Kyiv.
"The leaders condemned Putin’s recent belligerent statements on Ukraine," he said. "They agreed his actions highlight the need for allies to continue their economic and military support to Ukraine.