Yes, it will not cause hair fall. Start using it as per your doctor advised you.
Next Steps
if you are having hair fall, then consult your doctor again for that separately. Right now, getting your dandruff under control is important. Scalpe+ has Ketoconazole which has an antoandrogenic action and may help with certain hair fall also.
Health Tips
Do not apply hair oil for now since you have dandruff.