That's a very tricky problem for vision-based SLAM systems. But if you are using the depth camera just for depth sensing and perception, I guess that might be ignorable under the condition that the exposure time is short enough.
But you still might want to consider some solutions for vibration removal.
Removing the motion blur after it happened is almost meaning less if you are looking for a real-time solution. There are sensors that support HW level stabilization but that is not for your situation if you are using off the shelf depth camera. In all of them, CMOS sensor and lens are fixed on PCB. So you should consider an external stabilizer.
I highly recommend using mechanical vibration dampers like the following.
Off the shelf damper