In this case, Despres had enough time and then some.
Here's where Smid dumped the puck in. Look at Despres' position. He can see the entire play developing and yes -- it's on HIM to be aware of how the play develops from this point forward and react accordingly.
Here's Despres looking over his shoulder to track Smid's speed and direction.
Note that by the time he approaches the corner, Despres is already coasting and making no effort to play the puck. He's already committed to making a hit on Smid, regardless of what Smid decides to do. It's now 100% on Despres to make sure that hit is clean and legal.
This is the position from which Despres engages the hit. Note that Smid hasn't even touched the puck yet. Also note that the time signatures show 2+ full seconds from the time Despres marked Smid until the time he
began to throw the check. This wasn't a reflex hit -- he made an active decision to coast to a certain spot and then change direction so that he could catch Smid at an ideal angle. Again -- it is 100% Despres' responsibility to be sure that the hit is clean and legal.
There is no "accidentally" jumping into Smid's head at this point. There is no blaming Smid for playing the puck. Despres was in a position to do whatever he wanted to do there, so he assumed full responsibility for the consequences.