Recall the previously shown Kimura roll from the bottom as a counter to the armbar setup. This still works extremely well—so well, in fact, that you can often hitch a ride with the person as they start to tilt over. That's exactly what we're doing here.

As your opponent's base starts to shift to the side while you're extending your Kimura grip to elevate their hips, and as they're about to shift their weight to the side to sit down to finish the position, just follow up and over with your hips, using their momentum to lift you up and over into side control on the far side. Timing is key here, and the "ride" to side control is just a bonus (if you just hit the roll as before, you're still doing your job), but sometimes this is how it's going to go for you.