The model you're seeking is called Tube Comp. It's based on Teletronix LA-2A studio compressor.
The title is misleading. The comp effect on this model is quite subtle relative to its clean boost and treble enhancement impacts. (Indeed, it's akin-sounding, to me, to an aural exciter).
Start with the threshold at half or more (i.e., relatively less compression relative to its output) and level at a quarter and adjust from there. Experiment, also, with the model at both the beginning and the end of your signal chain. Myself, on my M13 (it's the same model), I put it at the end as it’s not your traditional compressor model despite its moniker.
You yourself may or may not feel including the Tube Comp in your chain actually gets you closer to Jerry tone. That's fine - tone is personal. But you already "own" the model and even if it's not for you for Jerry tone it's a wonderful sounding effect useful in other contexts, too, so you have absolutely nothing to lose from trying it.