The speed of light in a vacuum is a limit on how fast information or mass can move, nothing else. If mass or information could move faster than the speed of light then it could produce what is know as a "causality violation", where effect could be observed before cause.
During the very early stages of the universe's life, it is hypothesised that it rapidly "inflated" from the size of a proton to about the size of a grapefruit in about 10e-33 seconds, which is about 100000000000000000000000 times faster than it would do if it was expanding at the speed of light.
This inflationary phase doesn't violate causality, as supposedly is just spacetime itself that is expanding faster than the speed of light. The information and mass within the universe is still being mundane enough to move at or below the speed of light.
I'm just regurgitating this crap from having done an astrophysics degree years back. My actual intuitive grasp on the thinking behind it all is pretty minimal to be honest...