In this paper, I address the price discovery process in the Euro zone sovereign credit risk markets. In particular, I analyse the dynamics between CDS spreads and bond credits spreads, which are regarded by market participants as close substitutes. Indeed, by no-arbitrage conditions there should be a close relationship between them. Recent empirical research shows that short-term deviations between the variables may arise due to market frictions, yet they disappear in the long-term. This error-correction mechanism translates into a cointegration relationship between the spreads. In contrast with recent literature and as a novelty, I show that the speed of adjustment of the error-correction mechanism may depend on the size and the sign of the departure from the long-term equilibrium relationship between credit spreads and CDS spreads. One of the implications of these findings is that deviations may even subsist in the long-run if they do not achieve a certain threshold. This asymmetric cointegration also a...