The sovereign debt crisis of 2010 in the euro area significantly decelerated the monetary integration of the EU. The main purpose of this paper is to explore whether five post-communist member states of the EU are mature enough to adopt the euro. We used nominal exchange rates in the error correction model with asymmetric power ARCH (ECM-APARCH). Our results highlight that EU membership positively increased the impact of the euro on the currency of each of these countries in the short-run. In contrast, the long-term effect of the euro on each currency is negative for the Czech Republic, Hungary, and Croatia. Wholly different results were obtained for Poland and Romania. The APARCH model showed that the negative responses of the euro had a greater or neutral effect on the conditional variance of each currency instead of the positive responses. The debt crisis of the euro area had no impact on the dynamic linkages between the currencies. Our research concludes that Croatia, the Czech Republic, and Hungary are not ready to join the euro area in the near future. On the other hand, the currencies of Poland and Romania are already aligned with the fluctuations of the euro.