President Obama has repeatedly promised to keep American ground troops out of the fighting in Iraq and Syria, but a recent poll shows that Americans aren’t buying it.

An NBC/Wall Street Journal/Annenberg poll released Sunday found that 72 percent of registered voters believe American combat troops will eventually be sent to engage Islamic State jihadists in Iraq or Syria. Just 20 percent believe the president’s pledge to rely solely on air strikes and allies on the ground to destroy the group.

The White House has repeatedly declared its unwillingness to commit ground troops to Iraq. “I think would be a profound mistake,” Obama told NBC’s Chuck Todd on September 8. ”And I want to be very clear and very explicit about that.” At least 1,700 American combat advisers, security personnel and special forces are already on the ground in Iraq.​

Americans are more divided on whether they think the deployment of ground forces would be a good idea. Forty-five percent would back a deployment of U.S. troops if the Pentagon found it was “the best way to defeat the ISIS army.” 37 percent would still oppose any “boots on the ground.” 16 percent of registered voters remain undecided.