diff --git a/client.go b/client.go
index 29c0ddc7b..da3779b46 100644
--- a/client.go
+++ b/client.go
@@ -463,6 +463,10 @@ func (client *client) RefreshBrokers(addrs []string) error {
 		_ = broker.Close()
 	}
 
+	for _, broker := range client.deadSeeds {
+		_ = broker.Close()
+	}
+
 	client.seedBrokers = nil
 	client.deadSeeds = nil