diff --git a/src/Type.cc b/src/Type.cc
index 43f5da6267..6a4139bc8b 100644
--- a/src/Type.cc
+++ b/src/Type.cc
@@ -19,7 +19,7 @@ BroType::TypeAliasMap BroType::type_aliases;
 // Note: This function must be thread-safe.
 const char* type_name(TypeTag t)
 	{
-	static const char* type_names[int(NUM_TYPES)] = {
+	static constexpr const char* type_names[int(NUM_TYPES)] = {
 		"void",      // 0
 		"bool",      // 1
 		"int",       // 2
diff --git a/src/util.cc b/src/util.cc
index 18999aa903..cbd635d5a2 100644
--- a/src/util.cc
+++ b/src/util.cc
@@ -612,7 +612,7 @@ TEST_CASE("util uitoa_n")
 
 char* uitoa_n(uint64_t value, char* str, int n, int base, const char* prefix)
 	{
-	static char dig[] = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ";
+	static constexpr char dig[] = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ";
 
 	assert(n);