Bruce penned the deal when the Tigers sat 15th in the Barclays Premier League, five points clear of the drop zone and fully expecting to extend their top-flight stay.
But as his side head to Tottenham on Saturday knowing defeat could all but consign them to relegation, Bruce acknowledged the drop could leave his future uncertain.
Bruce said: "The owners wanted me to stay - they were convinced we were going to be a Premier League team and I think that's why they rewarded me with a new contract.
"I haven't really thought of myself just yet but I've got no thoughts of quitting or walking away - nothing like that.
"It's for others to decide. I've got huge respect for the owner and I'm totally disappointed for him and the supporters but it is not over yet. I will tell you in a couple of weeks because it is out of my hands."