In this study, we focus on the dynamic properties of the risk-neutral liquidity risk premium specific to the sovereign credit default swap (CDS) and bond markets. We show that liquidity risk has a non-trivial role and participates directly to the variation over time of the term structure of sovereign CDS and bond spreads for both the pre- and crisis periods. Secondly, our results indicate that the time-varying bond and CDS liquidity risk premium move in opposite directions which imply that when bond liquidity risk is high, CDS liquidity risk is low (and vice versa), which may in turn be consistent with the substitution effect between CDS and bond markets. Finally, our Granger causality analysis reveals that, although the magnitude of bond and CDS liquidity risk is substantially different, there is a strong liquidity flow between the CDS and the bond markets, however, no market seems to consistently lead the other.