Statistically, the opposite is happening: human knowledge is becoming deeper . The arc of human knowledge throughout history bends towards specialization : never before in human history have so many people been educated in so many different subdomains, each different in methodology, discipline, and scope. This is evinced by rising numbers of postgraduate degrees, increasing diversity in academic specialization, etc.…
With specialisation comes interdependence. If you spend 99% of your free time studying computers it is almost certain that you don't know how to grow a potato. You depend on others to do things for you.
Over time specialisation results in critical and basic survival skills being lost from the mainstream.
Usually then, some event occurs that wipes out a critical group of specialists, and everything that depends on them comes crashing down, resulting in the species being wiped out... because the knowledge cannot be rediscovered, or the skills re-learnt, before the food runs out.
We are rushing towards a future where all of our food, water and energy is grown/harvested/generated/distributed by AI-driven machines. The number of people on the planet who will know how those AIs actually work will be minuscule.
Specialists already do things like attend conferences... so gather in a single location... breathe the same air while there... stay at the same hotels... eat at the same restaurants... fly the same planes...
If we care about the long-term survival of the Human species, then we should be very, very careful not to allow over-specialisation to occur in critical fields.