To innovate, get out!
To innovate it is useful to know something about the topic. Picasso was a painter before founding the cubist movement, sir Godfrey Hounsfield was an electrical engineer before creating the CT Scanner.
Paradoxically, as Thomas S. Kuhn demonstrates in The structure of scientific revolutions, innovation usually comes from people on the outer edge of their field, as opposed to the core establishment who are mentally and emotionally over-invested in the dominant paradigm. Metaphorically, think of a field of blue flowers adjacent to a field of red flowers. Where are we more likely to see the emergence of a new species of purple flowers? At the edge between the two fields, not at the centre of one or the other.
This does not mean that experts at the core of their domain cannot innovate. Contrary to flowers, people can move! But the lesson from the flower fields is that people who want to innovate have to take pro-active steps to expose themselves to provocation, to different viewpoints, to opportunities to connect the dots. Attending fairs and conferences in another domain than their own, meeting prospects (as opposed to established customers), getting back to school to study a different subject, are examples of such steps.
However, getting out as an evangelist of one’s own expertise is not going to create much opportunity for creativity. The attitude of the experts getting out of their field has to be one of humility, receptivity and willingness to learn while most people look up to them as teachers.