diff --git a/spring-core/src/main/java/org/springframework/core/io/AbstractFileResolvingResource.java b/spring-core/src/main/java/org/springframework/core/io/AbstractFileResolvingResource.java
index 958b3babce7c..ac9ea29a5dca 100644
--- a/spring-core/src/main/java/org/springframework/core/io/AbstractFileResolvingResource.java
+++ b/spring-core/src/main/java/org/springframework/core/io/AbstractFileResolvingResource.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2018 the original author or authors.
+ * Copyright 2002-2021 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -88,7 +88,15 @@ else if (code == HttpURLConnection.HTTP_NOT_FOUND) {
 	@Override
 	public boolean isReadable() {
 		try {
-			URL url = getURL();
+			return checkReadable(getURL());
+		}
+		catch (IOException ex) {
+			return false;
+		}
+	}
+
+	boolean checkReadable(URL url) {
+		try {
 			if (ResourceUtils.isFileURL(url)) {
 				// Proceed with file system resolution
 				File file = getFile();
diff --git a/spring-core/src/main/java/org/springframework/core/io/ClassPathResource.java b/spring-core/src/main/java/org/springframework/core/io/ClassPathResource.java
index 6374f2768b9d..f99adce06ce4 100644
--- a/spring-core/src/main/java/org/springframework/core/io/ClassPathResource.java
+++ b/spring-core/src/main/java/org/springframework/core/io/ClassPathResource.java
@@ -142,6 +142,18 @@ public boolean exists() {
 		return (resolveURL() != null);
 	}
 
+	/**
+	 * This implementation checks for the resolution of a resource URL upfront,
+	 * then proceeding with {@link AbstractFileResolvingResource}'s length check.
+	 * @see java.lang.ClassLoader#getResource(String)
+	 * @see java.lang.Class#getResource(String)
+	 */
+	@Override
+	public boolean isReadable() {
+		URL url = resolveURL();
+		return (url != null && checkReadable(url));
+	}
+
 	/**
 	 * Resolves a URL for the underlying class path resource.
 	 * @return the resolved URL, or {@code null} if not resolvable
diff --git a/spring-webflux/src/main/java/org/springframework/web/reactive/function/server/PathResourceLookupFunction.java b/spring-webflux/src/main/java/org/springframework/web/reactive/function/server/PathResourceLookupFunction.java
index eb4109c22361..6d9dd2ecf330 100644
--- a/spring-webflux/src/main/java/org/springframework/web/reactive/function/server/PathResourceLookupFunction.java
+++ b/spring-webflux/src/main/java/org/springframework/web/reactive/function/server/PathResourceLookupFunction.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2020 the original author or authors.
+ * Copyright 2002-2021 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -72,7 +72,7 @@ public Mono<Resource> apply(ServerRequest request) {
 
 		try {
 			Resource resource = this.location.createRelative(path);
-			if (resource.exists() && resource.isReadable() && isResourceUnderLocation(resource)) {
+			if (resource.isReadable() && isResourceUnderLocation(resource)) {
 				return Mono.just(resource);
 			}
 			else {
diff --git a/spring-webmvc/src/main/java/org/springframework/web/servlet/function/PathResourceLookupFunction.java b/spring-webmvc/src/main/java/org/springframework/web/servlet/function/PathResourceLookupFunction.java
index 0dfb73d0eafe..09cc636cca5a 100644
--- a/spring-webmvc/src/main/java/org/springframework/web/servlet/function/PathResourceLookupFunction.java
+++ b/spring-webmvc/src/main/java/org/springframework/web/servlet/function/PathResourceLookupFunction.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2020 the original author or authors.
+ * Copyright 2002-2021 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -71,7 +71,7 @@ public Optional<Resource> apply(ServerRequest request) {
 
 		try {
 			Resource resource = this.location.createRelative(path);
-			if (resource.exists() && resource.isReadable() && isResourceUnderLocation(resource)) {
+			if (resource.isReadable() && isResourceUnderLocation(resource)) {
 				return Optional.of(resource);
 			}
 			else {
@@ -110,10 +110,7 @@ private boolean isInvalidPath(String path) {
 				return true;
 			}
 		}
-		if (path.contains("..") && StringUtils.cleanPath(path).contains("../")) {
-				return true;
-			}
-		return false;
+		return path.contains("..") && StringUtils.cleanPath(path).contains("../");
 	}
 
 	private boolean isResourceUnderLocation(Resource resource) throws IOException {
@@ -144,10 +141,8 @@ else if (resource instanceof ClassPathResource) {
 		if (!resourcePath.startsWith(locationPath)) {
 			return false;
 		}
-		if (resourcePath.contains("%") && StringUtils.uriDecode(resourcePath, StandardCharsets.UTF_8).contains("../")) {
-			return false;
-		}
-		return true;
+		return !resourcePath.contains("%") ||
+				!StringUtils.uriDecode(resourcePath, StandardCharsets.UTF_8).contains("../");
 	}