diff --git a/src/services/stringCompletions.ts b/src/services/stringCompletions.ts
index 6ff21d4159b..42939f7fe13 100644
--- a/src/services/stringCompletions.ts
+++ b/src/services/stringCompletions.ts
@@ -1025,7 +1025,7 @@ function removeLeadingDirectorySeparator(path: string): string {
 function getAmbientModuleCompletions(fragment: string, fragmentDirectory: string | undefined, checker: TypeChecker): readonly string[] {
     // Get modules that the type checker picked up
     const ambientModules = checker.getAmbientModules().map(sym => stripQuotes(sym.name));
-    const nonRelativeModuleNames = ambientModules.filter(moduleName => startsWith(moduleName, fragment));
+    const nonRelativeModuleNames = ambientModules.filter(moduleName => startsWith(moduleName, fragment) && moduleName.indexOf("*") < 0);
 
     // Nested modules of the form "module-name/sub" need to be adjusted to only return the string
     // after the last '/' that appears in the fragment because that's where the replacement span
diff --git a/tests/baselines/reference/completionForStringLiteralImport3.baseline b/tests/baselines/reference/completionForStringLiteralImport3.baseline
new file mode 100644
index 00000000000..eb38cecad9e
--- /dev/null
+++ b/tests/baselines/reference/completionForStringLiteralImport3.baseline
@@ -0,0 +1,15 @@
+[
+  {
+    "marker": {
+      "fileName": "/a.ts",
+      "position": 22,
+      "name": ""
+    },
+    "completionList": {
+      "isGlobalCompletion": false,
+      "isMemberCompletion": false,
+      "isNewIdentifierLocation": true,
+      "entries": []
+    }
+  }
+]
\ No newline at end of file
diff --git a/tests/cases/fourslash/completionForStringLiteralImport3.ts b/tests/cases/fourslash/completionForStringLiteralImport3.ts
new file mode 100644
index 00000000000..8f3462915d3
--- /dev/null
+++ b/tests/cases/fourslash/completionForStringLiteralImport3.ts
@@ -0,0 +1,9 @@
+/// <reference path="fourslash.ts" />
+
+// @filename: /globals.d.ts
+////declare module "*.css";
+
+// @filename: /a.ts
+////import * as foo from "/**/";
+
+verify.baselineCompletions();