The victory was the Steelers' second in a row following a run of four consecutive defeats at the start of the season, leaving their overall record at 2-4.
Pittsburgh remain bottom of the AFC North, but Woodley believes that they can still make a success of their season if they continue to play as they have been in their previous two matches.
"At 0-4, a lot of people counted us out and we still have an opportunity to turn this thing around. Right now we just have to keep marching in the right direction," Woodley told The AP.
The Steelers now face two away games in a row, taking on the Oakland Raiders on Sunday before a trip to face the New England Patriots a week later.