Obama filled out a bracket for the fourth consecutive year. He picked North Carolina to win the 2009 title -- and was correct.
He's gone with Kansas the past two seasons, and the Jayhawks were eliminated early both times.
His national championship pick will be unveiled at 9 a.m. ET Wednesday on "SportsCenter."
Segments from ESPN.com reporter Andy Katz's interview with the president will begin airing at 11 p.m. ET Tuesday night.
There also will be coverage on ABC's "Good Morning America."
The president has Baylor, St. John's, Connecticut and Notre Dame in his women's bracket, which will be unveiled Friday.
Republican presidential candidate Mitt Romney said he won't be filling out a tournament bracket.
"I'm not plugged in well enough this year to do that," Romney said Tuesday during a brief exchange with reporters traveling with him in Missouri.
Information from The Associated Press was used in this report.