As the number of technologies are out numbered today, you can't stick around the same piece of work you have been doing over years. If you want stay in industry, learn everyday - so that you will earn better too. Otherwise prepare yourself to say BYE before IT kicks you out .
General behavior of human being is always having that fear to be part of new things/change happens around the world. You call it fear or phobia or what ever it is. Let me tell you an example here - When we born, we don't know how to walk,talk,eat,etc. But later we did learn those. Like the same way, start thinking about jobs as well. Leave your fear behind or Be ready to leave your job.
How much TIME does it take .......
Its not a day or a month that brings change in your career. Learning should become your habit. Look out for the opportunities in your day to day work. Observe - what can you do better than yesterday. If you are an admin guy and doing same work over years, its time to change the way you are doing.
Upgrade yourselves. IT no more requires people like 'Hey,I have 10 years experience on X tool, I'm master of it'. Today IT needs people like 'Hi, I have 10 years of experience, I know X,Y,Z to A point and master at one.' Simply Master of one-Jack of all. So as early as you start learning things, the more time you will be in the industry.
Keep learning - Keep growing.