But the head of the reliably pro-peace Labor Party defied that dynamic in an interview broadcast Tuesday, saying he would not evacuate settlements as part of a final status agreement with the Palestinians.

Avi Gabbay told Channel 2 that the notion this is necessary was mistaken.

“I think the dynamic and terminology that have become commonplace here, that if you make peace, evacuate, is not in fact correct,” he said. “If you make a peace deal, it is possible to find solutions that don’t require evacuating.”

Various Labor leaders and others in the opposition distanced themselves from Gabbay’s comments after they were aired Monday in a preview. Under prime ministers Rabin, Shimon Peres and Ehud Barak, Labor pushed for peace based on the premise that settlers would have to move across Israel’s new border.

Tzipi Livni of the center-left Zionist Union said Gabbay’s statement does not reflect the position of her party, which is allied with Labor. While Israel would of course retain the major settlement blocs, she said, unfortunately “you can’t promise everyone they can stay in their homes.”

Gabbay’s comments seem to move his center-left party rightward at a time when he is vying with Yesh Atid leader Yair Lapid to be the centrist alternative to Netanyahu. Both men are adopting or withholding criticism of some of the prime minister’s positions in the process.

And with some exceptions, Gabbay and Lapid have refrained lately from seriously attacking the prime minister, even as police investigations swirl around Netanyahu, his family and associates.

According to Abraham Diskin, a political science professor at the Hebrew University of Jerusalem, both Gabbay and Lapid hope to reach rightward and win over some of the prime minister’s traditional Likud supporters, which is why they can sound like him.

“You really have to control the arithmetic center in the Knesset,” Diskin said. “That means attracting defectors from the right wing, including the Likud.”

Gabbay first made headlines this week at a Shabbat event in the southern city of Beersheba when he declared that unlike other Labor leaders in the past, he would not join a governing coalition with the Arab parties that make up the Joint List — of which Netanyahu isa frequent critic.

On Sunday, Gabbay told a crowd in Dimona that he is not sure there is a Palestinian partner for peace. Netanyahu has said repeatedly he is sure there is not.

In the interview Tuesday, Gabbay made two other surprising statements in addition to the one about settlements. He said Netanyahu should only step down if indicted on allegations that he took bribes — allegations Netanyahu denies. Other figures on the left have called for the prime minister’s head in the wake of the corruption allegations.

Asked how his position on settlements differed from that of Netanyahu, who has said that uprooting settlers would amount to ethnic cleansing, Gabbay said he was committed to reaching a deal — unlike the prime minister.

“There is a huge gap between those who at least want to get there and those who don’t want to get there,” he said.

On Monday night, Gabbay reportedly backtracked in a text message to Zionist Union members. He assured his associates that he is committed to pursuing a peace agreement based on the two-state solution, but said “there is no point in committing to [evacuating all the settlements] as a starting point for talks.”

Lapid remained silent. But in an essays in the Atlantic magazine last week, the Yesh Atid leader supported Netanyahu’s hawkish views on Iran. Lapid accused Tehran of lying to the West and using the nuclear agreement to move toward becoming a regional nuclear power. Iran has denied it seeks nuclear weapons.

“I don’t often agree with Prime Minister Netanyahu,” Lapid wrote, “but his description of Iranian President Hassan Rouhani as a ‘wolf in sheep’s clothing’ is right on the money.”

In fact, Lapid has found consensus at times with Netanyahu since the start of his political career. After his upstart party’s surprising election showing in 2013, Lapid ruled out trying to form a government with the Joint List. He called its members “Zoabis” in reference to the anti-Zionist Arab-Israeli lawmaker Hanin Zoabi, whom Netanyahu has repeatedly sought to silence. Instead, Lapid became Netanyahu’s finance minister.

Lately, Lapid has struck a statesmanlike pose. In January, he reminded Israelis that Netanyahu is “innocent until proven guilty” and criticized Gabbay for attending a rally demanding the prime minister be brought to justice. In February he expressed hope that Netanyahu would not be indicted.

Stronger opposition has come from Barak, who has called for Netanyahu to resign and relentlesslyflogged him from outside the political arena as a “feeble lackey of a prime minister.”

Gabbay and Lapid have so far held their fire against each other, too. And when Lapid did attack his rival, shortly after Gabbay won the chairmanship of Labor in July, Lapid subsequently took back his comments.

Yohanan Plesner, the head of the Israel Democracy Institute and a former director-general of the now-defunct center-right Kadima party, predicted that in the next election — it’s slated for November 2019 but could come sooner — voters will rally around the most credible centrist. He said left-leaning voters and leaders will forgive the candidate some Netanyahu-like rhetoric in the interest of ousting Netanyahu himself.

“What will really determine Gabbay’s fate is whether he will be seen as a real competitor for power,” Plesner said. “If he is, whether he said this or that won’t really matter.”