diff --git a/spring-webflux/src/main/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolver.java b/spring-webflux/src/main/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolver.java
index aac9d48ea396..d4011e05a8ff 100644
--- a/spring-webflux/src/main/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolver.java
+++ b/spring-webflux/src/main/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolver.java
@@ -60,6 +60,7 @@
 import org.springframework.web.reactive.result.method.InvocableHandlerMethod;
 import org.springframework.web.reactive.result.method.SyncHandlerMethodArgumentResolver;
 import org.springframework.web.reactive.result.method.SyncInvocableHandlerMethod;
+import org.springframework.web.server.NotAcceptableStatusException;
 import org.springframework.web.server.ServerWebExchange;
 
 /**
@@ -416,7 +417,15 @@ private InvocableHandlerMethod createAttributeMethod(Object bean, Method method)
 	public InvocableHandlerMethod getExceptionHandlerMethod(Throwable ex, ServerWebExchange exchange, @Nullable HandlerMethod handlerMethod) {
 
 		Class<?> handlerType = (handlerMethod != null ? handlerMethod.getBeanType() : null);
-		List<MediaType> requestedMediaTypes = this.contentTypeResolver.resolveMediaTypes(exchange);
+		List<MediaType> requestedMediaTypes = List.of(MediaType.ALL);
+		try {
+			requestedMediaTypes = this.contentTypeResolver.resolveMediaTypes(exchange);
+		}
+		catch (NotAcceptableStatusException exc) {
+			if (logger.isDebugEnabled()) {
+				logger.debug("Could not parse Accept header for requested media types", exc);
+			}
+		}
 
 		// Controller-local first
 		if (handlerType != null) {
diff --git a/spring-webflux/src/test/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolverTests.java b/spring-webflux/src/test/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolverTests.java
index 7d582a95d331..f45585a26c6d 100644
--- a/spring-webflux/src/test/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolverTests.java
+++ b/spring-webflux/src/test/java/org/springframework/web/reactive/result/method/annotation/ControllerMethodResolverTests.java
@@ -258,6 +258,18 @@ void exceptionHandlerWithMediaType() {
 		assertThat(producibleMediaTypes).isNotEmpty().contains(MediaType.APPLICATION_JSON);
 	}
 
+	@Test
+	void exceptionHandlerWithInvalidAcceptHeader() {
+		Method method = ResolvableMethod.on(ExceptionHandlerController.class).mockCall(ExceptionHandlerController::handle).method();
+		this.handlerMethod = new HandlerMethod(new ExceptionHandlerController(), method);
+		MockServerHttpRequest httpRequest = MockServerHttpRequest.get("/test").header("Accept", "v=12").build();
+		MockServerWebExchange serverWebExchange = MockServerWebExchange.builder(httpRequest).build();
+		InvocableHandlerMethod invocable = this.methodResolver.getExceptionHandlerMethod(
+				new ResponseStatusException(HttpStatus.BAD_REQUEST, "reason"), serverWebExchange, this.handlerMethod);
+
+		assertThat(invocable).as("No match").isNotNull();
+	}
+
 
 	private static HandlerMethodArgumentResolver next(
 			List<? extends HandlerMethodArgumentResolver> resolvers, AtomicInteger index) {