The Team Sky rider won the 41.5-kilometre time-trial from Arc-et-Senans to Besancon, enhancing his hold on the fabled maillot jaune with his first Tour stage success.
The 32-year-old triple Olympic gold medal winner now leads defending champion Cadel Evans (BMC Racing) by one minute 53 seconds ahead of tomorrow's 194.5km 10th stage from Macon to Bellegarde-sur-Valserine. Wiggins' team-mate Chris Froome sits third overall, 2mins 07secs behind.
"It's about being good for 21 days," Wiggins said.
"I've been consistently good for the last few days and I have a good lead now.
"It's just about not getting too carried away. We have to forget about this very fast - you start dwelling on your success and that's when things start going wrong.
"We get back up in two days' time and start from zero again."
Wiggins admitted the moment on Saturday when he realised a lifelong dream to claim the maillot jaune led to a fitful night's sleep.
He added: "I struggled a little bit at that mountain summit the other day when I took the jersey - I realise what that means in the sport.
"I didn't sleep very well that night. I allowed the emotion of taking the jersey to slightly get to me.
"But that's what it's all about, that's why I do this sport, that's why I love it and that's why I train as hard as I do.
"I think I'm entitled to that. Fortunately we've got a rest day, so a little bit more time to let it all sink in."
Wiggins is pleased with the way he has handled himself thus far, but knows there is the potential for a quick turnaround in fortunes between now and the finish of the race in the capital on July 22.
"I'm really proud of how I've handled this whole thing so far," he added.
"(But) Cadel is far from finished. He will fight every inch of the way and I'm only human, I'm not a machine, there's always the possibility of a bad day."
Wiggins has enjoyed a successful season to date, winning the Paris-Nice, Tour de Romandie and Criterium du Dauphine stage races.
Those victories were useful preparation for the Tour, when the race leader fulfils daily media duties long after the stage is finished.
"That was great preparation because it's not new, I know what the protocol is after the stages," he added.
"It doesn't take its toll so much on me."