Near work is an undisputed cause of myopic progression, whether it is smart phone or books.
Always keep the smart phone as far away from you as possible while you can still comfortably read.
The other commonly seen problem with excessive smart phone use is dry eyes/ computer vision syndrome, for which conscious frequent blinking should reduce symptoms.
Next Steps
To keep the phone as far as possible while reading. Avoid use throughout the day.
Health Tips
Keep blinking more frequently while watching the smart phone screen.