The Dutchman, who last coached in Germany with Schalke until just over a year ago, has returned to the Bundesliga with the Swabians, who are above the relegation zone only by virtue of one goal with 10 games of the season remaining.
"I love challenges," said the Dutchman. "I love being able to fight, but I'm not the dear God, I'm only human."
No challenge Stevens has faced has been greater than the one he has accepted, however.
Stuttgart chairman Bernd Wahler has therefore appealed to the club's fans to stick together and get behind the team at this difficult time.
"Nothing is more important right now than staying up," he said on his club's website. "With Stevens on the touchline, we have a coach who identifies fully with this clear objective.
"With his experience of over 20 years as a coach, he will find the right words and take the right steps to ensure Stuttgart remain in the Bundesliga.
"He has also made it clear that we can only achieve this together. Everybody has to play their part - colleagues, sponsors, fans, the coaching team and, above all, the players."
The situation Stuttgart are in does not differ much from the one hosts Bremen were in a year ago.
Back then, coach Thomas Schaaf led them to survival with a game to spare before resigning after 14 years as club coach.
Recent results have lifted the northern Germany club away from immediate relegation danger, although they still have work to do to ensure another year in the top flight and coach Robin Dutt has warned against the perils of taking Stuttgart lightly.
"They are not as bad as their current league position suggests," he said. "In truth, they should be in a safe mid-table position.
"A change in coach also brings with it new hope. Huub Stevens will work on the psychological side and try to free the players' minds."