The two-user discrete memoryless state-dependent multiple-access channel (MAC) models a scenario in which two encoders transmit independent messages to a single receiver via a MAC whose channel law is governed by an i.i.d. state random variable. In the cooperative state-dependent MAC model it is further assumed that Message 1 is shared by both encoders whereas Message 2 is known only to Encoder 2 – the cognitive transmitter. The capacity of the cooperative state-dependent MAC where the realization of the state sequence is known non-causally to the cognitive encoder was derived by Somekh-Baruch et. al.. In this work we dispense with the assumption that Message 1 is shared by both encoders. Instead, we study the case in which Encoder 2 cribs causally from Encoder 1. We determine the capacity region for the case where the cribbing is strictly causal.