Fitt said the problem was caused because the tendons around the thumb were working in an abnormal way.
"If you think about how most people would hold their phone, and they just flick up with their thumb, there's two problems with that," she said.
"It's not a normal movement that we would make and so that tendon isn't really designed to work in a repetitive, straightening up motion. You're overloading that tendon and asking it to do something that it doesn't normally do.
"The other problem with it is that it's a very isolated movement – the rest of the arm and the wrist all stays quite stationary, and the whole movement just comes from one or two little joints in the thumb.
"Those two things together lead to irritation, inflammation, aggravation of the tendons around the thumb that are working in an abnormal way, and also irritation of the joint itself, because there might be a pre-existing bit of arthritis in that joint, or it's just not used to that level of repetitive movement.
"So we see injuries to the joint and also to the tendons."
While scrolling on a mobile phone could cause problems for the thumb, doing it on a desktop computer could also cause problems in the index finger.
"You often get a tendonitis in your index finger from scrolling when you're on a desktop," Fitt said.
People aged from 40 were more likely to suffer from overuse injuries, but physios were also seeing them in children, she said.
But in good news, such injuries are not permanent and would settle with treatment, which usually involved splinting to give the finger a chance to rest, along with strengthening work.
The most important part of the treatment was advising people to stick to the guidelines of less than two hours per day of screen time outside of work and even less for children, Fitt added.
People also need to change the way they hold their phone.
"(To try) scrolling with different fingers, not just always going on and on the thumb," she said.
"The other part of this in terms of physical injuries is that scrolling really takes over the time that we would normally spend doing other physical activity and moving our bodies and so there's that element as well."