Tillman tweeted at ESPN Radio's Mike and Mike show Thursday morning: "@MikeAndMike god, family, football... Baby is coming Monday don't worry I'll be there Sunday."
Tillman's tweet ends speculation that he would sit the game out.
ESPNChicago.com reports, If Tillman were to miss the game, the Bears would be expected to use veteran cornerback Kelvin Hayden.
Tillman and his wife are both expected at a benefit for the Lurie Children's Hospital on Thursday night.
The Bears play the Texans at Soldier Field Sunday night.