diff --git a/webpack-subresource-integrity/src/util.ts b/webpack-subresource-integrity/src/util.ts
index c1e6b4d..eaaf99e 100644
--- a/webpack-subresource-integrity/src/util.ts
+++ b/webpack-subresource-integrity/src/util.ts
@@ -6,7 +6,14 @@
  */
 
 import { createHash } from "crypto";
-import type { AssetInfo, Chunk, Compilation, Compiler, sources } from "webpack";
+import type {
+  AssetInfo,
+  Chunk,
+  Compilation,
+  Compiler,
+  sources,
+  Module,
+} from "webpack";
 import { sep } from "path";
 import type { HtmlTagObject } from "./types";
 
@@ -114,6 +121,10 @@ export function notNil<TValue>(
   return value !== null && value !== undefined;
 }
 
+export function hasMiniCssExtractModlue(modules: Module[]) {
+  return modules.find((module) => module.type === miniCssExtractType);
+}
+
 export function generateSriHashPlaceholders(
   compilation: Compilation,
   chunks: Iterable<Chunk>,
@@ -121,16 +132,17 @@ export function generateSriHashPlaceholders(
 ): Record<string, string> {
   return Array.from(chunks).reduce((sriHashes, depChunk: Chunk) => {
     if (depChunk.id) {
-      const hasMiniCssExtractFile = compilation.chunkGraph
-        .getChunkModules(depChunk)
-        .find((module) => module.type === miniCssExtractType);
-      if (hasMiniCssExtractFile) {
+      const modules = compilation.chunkGraph.getChunkModules(depChunk);
+      const containCssModule = hasMiniCssExtractModlue(modules);
+      if (containCssModule) {
         sriHashes[`${depChunk.id}_${miniCssExtractType}`] = makePlaceholder(
           hashFuncNames,
           `${depChunk.id}_${miniCssExtractType}`
         );
       }
-      sriHashes[depChunk.id] = makePlaceholder(hashFuncNames, depChunk.id);
+      if (!containCssModule || (containCssModule && modules.length > 1)) {
+        sriHashes[depChunk.id] = makePlaceholder(hashFuncNames, depChunk.id);
+      }
     }
     return sriHashes;
   }, {} as { [key: string]: string });
@@ -311,9 +323,7 @@ export const normalizeChunkId = (
 ) => {
   if (
     sourcePath.endsWith(".css") &&
-    compilation.chunkGraph
-      .getChunkModules(chunk)
-      .find((module) => module.type === miniCssExtractType)
+    hasMiniCssExtractModlue(compilation.chunkGraph.getChunkModules(chunk))
   ) {
     return `${chunk.id}_${miniCssExtractType}`;
   }