Cahill played a huge part in the victory, as the Blues secured two consecutive wins in the Premier League for the first time since December.
"I'm not putting pressure on myself," Cahill told Sky Sports.
"I know what I'm capable of over many years.
"It's good to be out there, getting results and building up my match fitness. I'm pleased to get back in and it builds momentum for an important weekend.
"It's been tough, clearly, but football is a rollercoaster and it's not always rosy. But my time here has been successful overall.
"I'm not finished, I keep working hard and I'll be back to my levels soon."