diff --git a/packages/vue-language-core/src/generators/template.ts b/packages/vue-language-core/src/generators/template.ts
index 56b743d6fb..a7d662e6a0 100644
--- a/packages/vue-language-core/src/generators/template.ts
+++ b/packages/vue-language-core/src/generators/template.ts
@@ -99,6 +99,10 @@ export function generate(
 	let expectedErrorStart: undefined | number;
 	let expectedErrorNode: CompilerDOM.CommentNode | undefined;
 
+	if (slotsAssignName) {
+		localVars.set(slotsAssignName, 1);
+	}
+
 	if (propsAssignName) {
 		localVars.set(propsAssignName, 1);
 	}
diff --git a/packages/vue-test-workspace/vue-tsc/non-strict-template/#3671/main.vue b/packages/vue-test-workspace/vue-tsc/non-strict-template/#3671/main.vue
new file mode 100644
index 0000000000..9e37f5e2d3
--- /dev/null
+++ b/packages/vue-test-workspace/vue-tsc/non-strict-template/#3671/main.vue
@@ -0,0 +1,7 @@
+<template>
+	{{ slots.footer }}
+</template>
+
+<script lang="ts" setup generic="T extends string">
+const slots = defineSlots<Record<T, () => any> & { footer(props: { id: number }): any}>();
+</script>
\ No newline at end of file