diff --git a/bilby/core/sampler/dynesty.py b/bilby/core/sampler/dynesty.py
index 9d8a66a91072286dc8067974d6b4d366682d7097..22811bccba9fa330ecf40949a937e70adadb232f 100644
--- a/bilby/core/sampler/dynesty.py
+++ b/bilby/core/sampler/dynesty.py
@@ -612,7 +612,7 @@ class Dynesty(NestedSampler):
                 fig = dyplot.traceplot(self.sampler.results, labels=labels)[0]
                 fig.tight_layout()
                 fig.savefig(filename)
-            except (RuntimeError, np.linalg.linalg.LinAlgError, ValueError) as e:
+            except (RuntimeError, np.linalg.linalg.LinAlgError, ValueError, OverflowError, Exception) as e:
                 logger.warning(e)
                 logger.warning('Failed to create dynesty state plot at checkpoint')
             finally: