diff --git a/src/compiler/compile/Component.ts b/src/compiler/compile/Component.ts
index fabe9e0316..5c83d1f346 100644
--- a/src/compiler/compile/Component.ts
+++ b/src/compiler/compile/Component.ts
@@ -1312,7 +1312,7 @@ export default class Component {
 
 								if (variable) {
 									variable.is_reactive_dependency = true;
-									if (variable.module) {
+									if (variable.module && variable.writable) {
 										should_add_as_dependency = false;
 										module_dependencies.add(name);
 									}
diff --git a/test/validator/samples/reactive-module-const-variable/input.svelte b/test/validator/samples/reactive-module-const-variable/input.svelte
new file mode 100644
index 0000000000..c89cc1c1d0
--- /dev/null
+++ b/test/validator/samples/reactive-module-const-variable/input.svelte
@@ -0,0 +1,9 @@
+<script context="module">
+	export const foo = 123;
+	export const doFoo = (foo) => foo;
+</script>
+
+<script>
+	$: bar = foo;
+	$: doFoo(bar);
+</script>
diff --git a/test/validator/samples/reactive-module-const-variable/warnings.json b/test/validator/samples/reactive-module-const-variable/warnings.json
new file mode 100644
index 0000000000..0d4f101c7a
--- /dev/null
+++ b/test/validator/samples/reactive-module-const-variable/warnings.json
@@ -0,0 +1,2 @@
+[
+]