diff --git a/src/Type.cc b/src/Type.cc
index 2f6e8b6860..a851128e68 100644
--- a/src/Type.cc
+++ b/src/Type.cc
@@ -1269,6 +1269,7 @@ void EnumType::CheckAndAddName(const string& module_name, const char* name,
 		// cyclic dependencies.
 		string fullname = make_full_var_name(module_name.c_str(), name);
 		if ( id->Name() != fullname
+		     || ! id->IsEnumConst()
 		     || (id->HasVal() && val != id->GetVal()->AsEnum())
 		     || GetName() != id->GetType()->GetName()
 		     || (names.find(fullname) != names.end() && names[fullname] != val) )
diff --git a/testing/btest/Baseline/language.enum-name-conflict/output b/testing/btest/Baseline/language.enum-name-conflict/output
index 606ce412f3..d0237ed056 100644
--- a/testing/btest/Baseline/language.enum-name-conflict/output
+++ b/testing/btest/Baseline/language.enum-name-conflict/output
@@ -2,3 +2,4 @@ error in /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/
 error in /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 15 and /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 5: conflicting definition of enum value 'RED' in type 'b'
 error in /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 27 and /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 23: conflicting definition of enum value 'Foo::TWO' in type 'Foo::bf'
 error in /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 32 and /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 22: conflicting definition of enum value 'Foo::ONE' in type 'Foo::bf'
+error in /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 41 and /home/jon/pro/zeek/zeek/testing/btest/.tmp/language.enum-name-conflict/enum-name-conflict.zeek, line 38: conflicting definition of enum value 'NOPE' in type 'a'
diff --git a/testing/btest/language/enum-name-conflict.zeek b/testing/btest/language/enum-name-conflict.zeek
index bab788c435..d8dd50ce09 100644
--- a/testing/btest/language/enum-name-conflict.zeek
+++ b/testing/btest/language/enum-name-conflict.zeek
@@ -32,3 +32,11 @@ export {
 		ONE,
 	};
 }
+
+module GLOBAL;
+
+global NOPE = 37;
+
+redef enum a += {
+	NOPE,
+};