Oil prices were slipping early on Thursday following a report that the White House intends to maintain a cease-fire with Iran unless American troops are killed.

Brent crude futures, the international standard, were down 1.1% at $96.71 a barrel. West Texas Intermediate futures were down 0.9% to $95.07 a barrel.

Despite exchanges of strikes in recent days, a cease-fire between the U.S. and Iran has held, at least officially. President Donald Trump has told aides that the trigger for restarting full-on conflict would be if Tehran kills American troops, The Wall Street Journal reported.

Iran has largely concentrated its missile and drone attacks on neighboring countries. On Wednesday, one Indian national was killed and 63 other people were injured, according to Indian authorities and Kuwaiti state media, during an attack by Iran.

However, Israel and Lebanon have agreed on a cease-fire contingent on Iran-backed Hezbollah group ending hostilities.

“That cease-fire is conditional on Hezbollah also stopping fighting, but in theory, the news helps to take out a key sticking point in the U.S.-Iran talks that was holding up a deal. So that’s seen oil prices reverse a run of three [days of] consecutive gains,” wrote Deutsche Bank analyst Henry Allen in a research note.

While oil prices still remain below the levels of more than $100 a barrel reached for much of the duration of the conflict, now entering its fourth month, they have bounced off levels of less than $90 a barrel reached last week when markets were hoping for an imminent peace deal. The crucial Strait of Hormuz, which normally carries about a fifth of daily oil traffic, remains largely closed.