Delmon Young had a one-out double to right-center field in the second inning, but Andy Dirks and Jhonny Peralta were unable to bring him home.
The Tigers need to get their bats going against an underwhelming pitcher such as Hendriks.
Anibal Sanchez struck out the first two batters he faced in the bottom of the frame before allowing a two-out single to Trevor Plouffe, then getting Alexi Casilla to ground out to second.
Sanchez has looked good so far.
The White Sox still trail Tampa Bay 2-0 in the second inning of their game in Chicago.