Washington made the promise with his own video Friday to the students at Papillion-La Vista South High School, home of the Titans, KETV-TV, Omaha reported.
"It really touched me, personally, and I just really want to thank you for that," Washington said in the video.
Students had wanted Washington to speak at the school's 10th anniversary event Sept. 28, 10 years after Coach Herman Boone -- whom Washington portrayed in the movie "Remember the Titans" -- visited the school, KETV reported.
The students sent their video plea to Washington on a personalized iPod and posted the video to YouTube, hoping to gain some attention.
Washington said in his video response he would not be able to attend the Sept. 28 event because of other obligations, but he promised to come another time.
"I promise you, I am going to show up in Omaha one of these days. I'm not even going to tell you when," he said. "I'm going to make sure it's while you're in school, and I'm just going to walk in and surprise all you guys."