Aaron Hunt's equaliser left Stuttgart in serious relegation danger, snatching a 1-1 draw for the northern Germany hosts, but Stevens saw enough positives to make him optimistic his club will avoid the drop this season.
"I'm happy with our performance, but not the result," Stevens told Sky television. "If there was one side who should have left this game with all three points, then it was us.
"When you have nine corners to two in an away game, then you've got to reward yourselves better.
"It's a shame, but this is the way things go and we've got to accept it. Next week, we've got to get three points at home, and given the way we played today, I'm optimistic."
Stuttgart could drop into the bottom two on Sunday if Hamburg and Freiburg both win their games.
They host Stevens' former club Hamburg next Saturday in a crucial survival battle at the Mercedes-Benz Arena in the Dutchman's first home game.