Higgs has claimed Leeds' number one jersey ahead of Casper Ankergren and become a popular player with fans.
The 32-year-old was rewarded with a year's extension last week and he is pleased he has made an early impact.
"I'm very pleased," he told the club's official website.
"I came in the summer knowing I would be providing competition for Casper, but at the same time not really knowing what to expect.
"I knew he'd been here for two or three years and played a lot of games. He's a good guy and we've got good competition.
"I knew I had to find form quickly and things went pretty well until the injury."
Higgs was signed from Cheltenham and the experienced shot-stopper says he always believed his ability to play for a bigger club.
"I've always believed in myself that I was good enough to do what I've got to do," he continued.
"If you do well contracts come with that - you tend to go year by year - but I'm pleased with the way it's gone so far.
"At home you're playing in front of 20,000 plus every week and whenever you go away, it's always full and you have to be on top of your game.
"You're not involved in games as much as I was at Cheltenham, but you still have to concentrate all the time and be ready when needed.
"We've had a great start and we've maintained it so far. We have to keep it going."
Higgs is on the sidelines after aggravating a thigh injury against Norwich and wants to take things much slower after rushing his last comeback.
"Now we're taking a slower approach to make sure it doesn't happen again. It'll be a couple more weeks yet, but we're not setting a target this time.
"We looked at Norwich as a target last time and I did feel good, but they say there's always a chance you can do the same again if you come back too quickly, and I felt it go again.
"It is a bit frustrating, but the team is doing well and we're at the top of the table."
Leeds Evens, Draw 12/5, Brighton 11/4