TEL AVIV — Israel’s Supreme Court on Monday offered a compromise to delay the eviction of four Palestinian families from a neighborhood in East Jerusalem that was the flash point in the most recent bout of Israeli-Palestinian violence in the Gaza Strip.

In May, clashes in the mostly Palestinian neighborhood of Sheikh Jarrah, which Jewish settlers refer to as Nahalat Shimon, between Israeli police armed with rubber bullets and stone-throwing Palestinians preceded larger, more violent demonstrations in the nearby Old City.

In 1956, Jordan and the United Nations built 28 small homes at Sheikh Jarrah, east of the Green Line marking the de facto border before 1967, to house Palestinian refugee families.

Aviv Tatarsky, a researcher with the left-leaning Israeli nonprofit Ir Amim who has been informally accompanying the Sheikh Jarrah residents throughout the legal proceedings, said the eviction case against the four Palestinian families is among the latest examples of a wave of evictions against Palestinians in East Jerusalem.

Chaim Silberstein, president of the pro-settler advocacy group Keep Jerusalem, which works to replace Palestinian residents with Jewish settlers in East Jerusalem, said he was “optimistic” that the Israeli courts would rule in favor of the Jewish settlers.