diff --git a/js/js.tests/test/org/jetbrains/kotlin/js/test/BasicBoxTest.kt b/js/js.tests/test/org/jetbrains/kotlin/js/test/BasicBoxTest.kt
index dcb2aad73d4..f6a3caa3a3a 100644
--- a/js/js.tests/test/org/jetbrains/kotlin/js/test/BasicBoxTest.kt
+++ b/js/js.tests/test/org/jetbrains/kotlin/js/test/BasicBoxTest.kt
@@ -118,9 +118,12 @@ abstract class BasicBoxTest(
                     }
 
             val additionalFiles = mutableListOf<String>()
-            if (modules.size > 1 || MODULE_KIND_PATTERN.matcher(expectedText).find()) {
+            if ((modules.size > 1 || MODULE_KIND_PATTERN.matcher(expectedText).find()) &&
+                !NO_MODULE_SYSTEM_PATTERN.matcher(expectedText).find()
+            ) {
                 additionalFiles += MODULE_EMULATION_FILE
             }
+
             val additionalJsFile = filePath.removeSuffix("." + KotlinFileType.EXTENSION) + JavaScript.DOT_EXTENSION
             if (File(additionalJsFile).exists()) {
                 additionalFiles += additionalJsFile
@@ -327,6 +330,7 @@ abstract class BasicBoxTest(
         val TEST_DATA_DIR_PATH = "js/js.translator/testData/"
 
         private val MODULE_KIND_PATTERN = Pattern.compile("^// *MODULE_KIND: *(.+)$", Pattern.MULTILINE)
+        private val NO_MODULE_SYSTEM_PATTERN = Pattern.compile("^// *NO_JS_MODULE_SYSTEM", Pattern.MULTILINE)
         private val NO_INLINE_PATTERN = Pattern.compile("^// *NO_INLINE *$", Pattern.MULTILINE)
         private val SKIP_NODE_JS = Pattern.compile("^// *SKIP_NODE_JS *$", Pattern.MULTILINE)
     }
diff --git a/js/js.tests/test/org/jetbrains/kotlin/js/test/semantics/BoxJsTestGenerated.java b/js/js.tests/test/org/jetbrains/kotlin/js/test/semantics/BoxJsTestGenerated.java
index bd37ecac9e7..5980a879a6d 100644
--- a/js/js.tests/test/org/jetbrains/kotlin/js/test/semantics/BoxJsTestGenerated.java
+++ b/js/js.tests/test/org/jetbrains/kotlin/js/test/semantics/BoxJsTestGenerated.java
@@ -5000,6 +5000,18 @@ public class BoxJsTestGenerated extends AbstractBoxJsTest {
             doTest(fileName);
         }
 
+        @TestMetadata("externalFunctionUmd.kt")
+        public void testExternalFunctionUmd() throws Exception {
+            String fileName = KotlinTestUtils.navigationMetadata("js/js.translator/testData/box/jsModule/externalFunctionUmd.kt");
+            doTest(fileName);
+        }
+
+        @TestMetadata("externalFunctionUmdFallback.kt")
+        public void testExternalFunctionUmdFallback() throws Exception {
+            String fileName = KotlinTestUtils.navigationMetadata("js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.kt");
+            doTest(fileName);
+        }
+
         @TestMetadata("externalObject.kt")
         public void testExternalObject() throws Exception {
             String fileName = KotlinTestUtils.navigationMetadata("js/js.translator/testData/box/jsModule/externalObject.kt");
diff --git a/js/js.translator/testData/box/jsModule/externalFunctionUmd.js b/js/js.translator/testData/box/jsModule/externalFunctionUmd.js
new file mode 100644
index 00000000000..97c66332846
--- /dev/null
+++ b/js/js.translator/testData/box/jsModule/externalFunctionUmd.js
@@ -0,0 +1,5 @@
+define("lib-foo", [], function() {
+    return function(y) {
+        return 23 + y;
+    };
+});
\ No newline at end of file
diff --git a/js/js.translator/testData/box/jsModule/externalFunctionUmd.kt b/js/js.translator/testData/box/jsModule/externalFunctionUmd.kt
new file mode 100644
index 00000000000..6be4e6e87b1
--- /dev/null
+++ b/js/js.translator/testData/box/jsModule/externalFunctionUmd.kt
@@ -0,0 +1,11 @@
+// MODULE_KIND: UMD
+package foo
+
+@JsModule("lib-foo")
+@JsNonModule
+@native fun foo(x: Int): Int = noImpl
+
+fun box(): String {
+    assertEquals(65, foo(42))
+    return "OK"
+}
\ No newline at end of file
diff --git a/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.js b/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.js
new file mode 100644
index 00000000000..c13cd43caa0
--- /dev/null
+++ b/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.js
@@ -0,0 +1,3 @@
+function lib(y) {
+    return 23 + y;
+}
\ No newline at end of file
diff --git a/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.kt b/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.kt
new file mode 100644
index 00000000000..d9e1182d55c
--- /dev/null
+++ b/js/js.translator/testData/box/jsModule/externalFunctionUmdFallback.kt
@@ -0,0 +1,12 @@
+// MODULE_KIND: UMD
+// NO_JS_MODULE_SYSTEM
+package foo
+
+@JsModule("lib")
+@JsNonModule
+@native fun foo(x: Int): Int = noImpl
+
+fun box(): String {
+    assertEquals(65, foo(42))
+    return "OK"
+}
\ No newline at end of file