This paper investigates the relationship between changes in euro area short-term and long-term market-based inflation expectations from January 2005 to September 2018, also devoting special attention to the relevance of the oil market. The full sample is split into three subsets related to different economic and financial landscapes. To model the conditional mean and the variance-covariance structure, a VAR-CCC-GARCH specification with oil effects in the volatility proves to be a preferable approach compared to other multivariate GARCH models. In general, the conditional correlation between changes in short-term and long-term inflation compensation appears as constant and relatively low in each subset, though increasing since mid-2014. Furthermore, there are no signs of fundamental deviations in how changes in short-term inflation expectations affect changes in longer-term expectations and vice versa. There is evidence that changes in short-term inflation expectations tend to respond to the movements of oil prices over time, while changes in longer-term ones started responding to crude dynamics after mid-2008. On the whole, these findings are relevant for analysts, investors and especially for the policymakers who charged with ensuring price stability.