The 22-year-old was thrown into the deep end against Liverpool, filling in at centre-back following the sending-off of Mapou Yanga-Mbiwa.
Dummett, who enjoyed a successful spell on loan at St Mirren last season, admits he cherished his first goal for his hometown club, but is refusing to get carried away.
"I actually dreamt about scoring the night before so this really is a dream come true," Dummett told the Evening Chronicle
"Maybe I should dream about it more often. Hopefully I'll score more that way. To score, and get one at the Gallowgate End just makes it even better.
"When I scored I didn't know where to run. All of the fans came running down the Gallowgate End - it was crazy.
"It is something I've never experienced before and might never again. You have to cherish these moments.
"I'd scored two for St Mirren but nothing is like scoring in front of 50,000 Geordie fans.
"That's something I've dreamt of all my career."
Dummett hopes he has done enough to keep his place in Alan Pardew's side ahead of next weekend's Tyne-Wear derby.
"I will go out and give the manager a headache," added Dummett.
"Hopefully I'm involved because it is such a big game. It is another step, I just need to keep going. It is only just starting.
"I've done nothing yet in football. This is my only second Premier League game of my career.
"I just need to keep my feet on the ground and working hard for the club."