There was no immediate comment from the Palestinian Authority, and it was not immediately clear whether it has the capacity to distribute the vaccines before they expire.
Israel has carried out one of the most successful vaccination programs in the world, allowing it to fully reopen businesses and schools. This week, authorities lifted the requirement to wear masks in public, one of the last remaining restrictions.
Rights groups have said that Israel, as an occupying power, is obliged to provide vaccines to the Palestinians. Israel denies having such an obligation, pointing to interim peace agreements reached with the Palestinians in the 1990s.
Those agreements say the PA, which has limited autonomy in parts of the occupied West Bank, is responsible for health care but that the two sides should cooperate to combat pandemics. Israel has offered vaccines to the more than 100,000 Palestinians from the occupied West Bank who work inside Israel, as well as Palestinians in east Jerusalem.
Gaza is ruled by the Islamic militant group Hamas, which is considered a terrorist organization by Israel and Western countries. Israeli officials have suggested linking any supply of vaccines to Gaza to the return of two Israeli captives and the remains of two soldiers held by Hamas.
The PA has said it is acquiring its own supplies through agreements with private companies and a World Health Organization program designed to aid needy countries. It was not immediately clear whether the expected Pfizer doses are being supplied through that program, known as COVAX, or a private arrangement.
To date, around 380,000 Palestinians in the West Bank and around 50,000 in Gaza have been vaccinated. More than 300,000 infections have been recorded in the two territories, including 3,545 deaths.
Israel captured the West Bank, Gaza and east Jerusalem in the 1967 Mideast war. The Palestinians want a state in all three territories. There have been no substantive peace talks in more than a decade.