Monday's staggering 6-1 win over Sunderland shoved Villa towards safety, with victory required at Norwich on Saturday to virtually confirm their top-flight status.
It is a remarkable situation given Paul Lambert's men have spent most of the season being among the favourites for the drop but Delph insists any concern never seeped into the Villa dressing room.
"We are young players and we have fire in our bellies," the midfielder said. "It might sound mad but we are not feeling that much pressure.
"We are going out there and enjoying it.
"We have been selected to do a job and that is what we have been doing. We will work 100 per cent in every game. If it is not going for us we will still keep going."