The Stormers avoided a third consecutive URC loss as they powered to a 46-19 win against Neil Powell's men in Durban.
The win came after a 35-5 defeat to Ulster and a 24-17 loss to Glasgow Warriors and now puts the defending champions second on the log behind Leinster, who lead by 11 points.
Dobson hailed his side for their bounce-back ability as a rampaging Stormers outfit scored six tries to win the coastal derby.
"There was a horrible negative emotion when we lost 35-5 last week and it was our biggest defeat, but we were always coming for this game," Dobson told reporters on Saturday.
"And that's why we didn't take people to Ulster. It was very important in terms of the South African conference... There was emotion when we lost the two URC games in a row, but our plan was to come for this game, we grabbed the opportunity and I didn't quite expect it to work out like it did."
WATCH | Libbok assists Jantjies for Stormers' opening try
Dobson was pleased with his side's depth as the Western Province franchise continued to manage a busy summer with URC, Champions Cup and the upcoming Currie Cup to contend with.
"When we won the URC last year, our main task this season was to make sure we have a sustainable thing. Before the season, I said that we didn't want to become a one-hit wonder," said Dobson.
"The key to that, especially competing in three competitions, including the Currie Cup, was to create depth. Our mindsets have changed very much.
"A while ago, there was the devastation of [losing] Evan Roos and leaving Hacjivah (Dayimani) out of this game, but then we see what Marcel Theunissen did this afternoon... so we have created some depth and we have a little bit to go in some areas.
"Last weekend in Belfast, we had a bit of work
United Rugby Championship
URC
Rugby
Marcel Theunissen