We investigate the impact of banks disclosure on the evolution of their CDS spreads during the European sovereign crisis. The disclosure of information helps investors in building expectations; disclosure may participate into the reduction of the information risk premium and may lead to a decrease of CDS spreads. We analyze the CDS spreads changes following the announcement of sovereign credit rating downgrades. We consider 16 dates in the period 2011-2013 and, for each one, we assess the cumulative abnormal CDS spread change (CASC). We build two disclosure indexes: one general and one specifically dedicated to sovereign exposure. We show that the bank exposure to sovereign risk has a positive impact on the CASC. Disclosure about sovereign exposure has a negative impact on CASC showing that information reduce risk premiums. However, the global disclosure increases the CASC; investors may disapprove the disclosure of too much abundant and broad information.