The Edinburgh outfit are facing possible liquidation, which could see them fall to the fourth division, but forward Stevenson is not about to jump ship.
The Jambos will certainly be relegated from the Scottish Premiership this season but could fall even further depending on what happens with current administrators BDO and the clubs Lithuanian creditors.
Regardless of the outcome, Stevenson has committed himself to the Hearts cause by saying he will not look to leave the embattled Tynecastle club.
"I will be staying," Stevenson said.
"I have a year left [on my contract]. When I came back here, it was for the long haul. Whether that is the First Division, Second Division or Third Division I am not bothered. I want to stay at Hearts, I want to stay at Hearts for as long as I can.
"I left [in 2012 to join Ipswich Town] and once you leave you do miss it. That is something for the young players. They are playing for a massive club and they know it is a privilege to play for Hearts.
"Whether it is in the First Division or the Third Division it is a privilege and the young boys know that. Hopefully we can get something sorted. A new deal and I can be here for many years to come."
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