In a phone call with CBS News Monday, Trump said "the war is very complete." But at a separate event with Republican lawmakers, he said the U.S. still needed to achieve "ultimate victory."
The case of Khalil, who was detained last March, sits at the vanguard of a battle of immigrants' due process and civil rights, and the Trump administration's mass detention and deportation policies.
The Constitution gives Congress the power to declare war, but presidents assert broad authority over use of force and the military. Congress has done little to push back.
Voting ends Tuesday night in the district that former Rep. Marjorie Taylor Greene left this year after a feud with President Trump. It's unclear if his pick will win her spot.