Business cycle correlations are state-dependent and higher in recessions than in expansions. In this paper, I suggest a mechanism to explain why this is the case. For this purpose, I build an international real business cycle model with occasionally binding constraints on capacity utilization which can account for state-dependent cross-country correlations in GDP growth rates. The intuition is that firms can only use their machines up to a capacity ceiling. Therefore, in booms the growth of an individual economy can be dampened when the economy hits its capacity constraint. This creates an asymmetry that can spill-over to other economies, thereby creating state-dependent cross-country correlations in GDP growth rates. Empirically, I successfully test for the presence of capacity constraints using data from the G7 advanced economies in a Bayesian threshold autoregressive (T-VAR) model. This finding supports capacity constraints as a prominent transmission channel of cross-country GDP asymmetries in recessions compared to expansions.