diff --git a/spring-web-reactive/src/test/java/org/springframework/web/reactive/result/method/annotation/RequestMappingMessageConversionIntegrationTests.java b/spring-web-reactive/src/test/java/org/springframework/web/reactive/result/method/annotation/RequestMappingMessageConversionIntegrationTests.java
index 364ab268b9d..32631b27876 100644
--- a/spring-web-reactive/src/test/java/org/springframework/web/reactive/result/method/annotation/RequestMappingMessageConversionIntegrationTests.java
+++ b/spring-web-reactive/src/test/java/org/springframework/web/reactive/result/method/annotation/RequestMappingMessageConversionIntegrationTests.java
@@ -52,6 +52,7 @@ import org.springframework.http.MediaType;
 import org.springframework.http.ResponseEntity;
 import org.springframework.http.codec.json.Jackson2JsonEncoder;
 import org.springframework.http.server.reactive.ZeroCopyIntegrationTests;
+import org.springframework.http.server.reactive.bootstrap.ReactorHttpServer;
 import org.springframework.web.bind.annotation.GetMapping;
 import org.springframework.web.bind.annotation.PostMapping;
 import org.springframework.web.bind.annotation.RequestBody;
@@ -62,6 +63,7 @@ import org.springframework.web.reactive.config.EnableWebReactive;
 import static java.util.Arrays.asList;
 import static org.junit.Assert.assertEquals;
 import static org.junit.Assert.assertTrue;
+import static org.junit.Assume.assumeFalse;
 import static org.springframework.http.MediaType.APPLICATION_XML;
 
 /**
@@ -175,6 +177,10 @@ public class RequestMappingMessageConversionIntegrationTests extends AbstractReq
 
 	@Test
 	public void resource() throws Exception {
+
+		// SPR-14975
+		assumeFalse(server instanceof ReactorHttpServer);
+
 		ResponseEntity<byte[]> response = performGet("/resource", new HttpHeaders(), byte[].class);
 
 		assertEquals(HttpStatus.OK, response.getStatusCode());
diff --git a/spring-web/src/test/java/org/springframework/http/server/reactive/ZeroCopyIntegrationTests.java b/spring-web/src/test/java/org/springframework/http/server/reactive/ZeroCopyIntegrationTests.java
index 3006cb9763b..28f67d196cc 100644
--- a/spring-web/src/test/java/org/springframework/http/server/reactive/ZeroCopyIntegrationTests.java
+++ b/spring-web/src/test/java/org/springframework/http/server/reactive/ZeroCopyIntegrationTests.java
@@ -19,6 +19,7 @@ package org.springframework.http.server.reactive;
 import java.io.File;
 import java.net.URI;
 
+import org.junit.Assume;
 import org.junit.Test;
 import reactor.core.publisher.Mono;
 
@@ -34,6 +35,7 @@ import org.springframework.web.client.RestTemplate;
 
 import static org.junit.Assert.assertEquals;
 import static org.junit.Assert.assertTrue;
+import static org.junit.Assume.assumeFalse;
 import static org.junit.Assume.assumeTrue;
 
 /**
@@ -50,9 +52,12 @@ public class ZeroCopyIntegrationTests extends AbstractHttpHandlerIntegrationTest
 
 	@Test
 	public void zeroCopy() throws Exception {
+
+		// SPR-14975
+		assumeFalse(server instanceof ReactorHttpServer);
+
 		// Zero-copy only does not support servlet
-		assumeTrue(server instanceof ReactorHttpServer ||
-				server instanceof UndertowHttpServer);
+		assumeTrue(server instanceof ReactorHttpServer || server instanceof UndertowHttpServer);
 
 		RestTemplate restTemplate = new RestTemplate();