diff --git a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/AbstractFilterRegistrationBean.java b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/AbstractFilterRegistrationBean.java
index 4c0593d93f0..7935b4d104f 100644
--- a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/AbstractFilterRegistrationBean.java
+++ b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/web/servlet/AbstractFilterRegistrationBean.java
@@ -30,7 +30,9 @@ import javax.servlet.FilterRegistration.Dynamic;
 import javax.servlet.ServletContext;
 
 import org.springframework.util.Assert;
+import org.springframework.util.ClassUtils;
 import org.springframework.util.StringUtils;
+import org.springframework.web.filter.OncePerRequestFilter;
 
 /**
  * Abstract base {@link ServletContextInitializer} to register {@link Filter}s in a
@@ -218,7 +220,14 @@ public abstract class AbstractFilterRegistrationBean<T extends Filter> extends D
 		super.configure(registration);
 		EnumSet<DispatcherType> dispatcherTypes = this.dispatcherTypes;
 		if (dispatcherTypes == null) {
-			dispatcherTypes = EnumSet.of(DispatcherType.REQUEST);
+			T filter = getFilter();
+			if (ClassUtils.isPresent("org.springframework.web.filter.OncePerRequestFilter",
+					filter.getClass().getClassLoader()) && filter instanceof OncePerRequestFilter) {
+				dispatcherTypes = EnumSet.allOf(DispatcherType.class);
+			}
+			else {
+				dispatcherTypes = EnumSet.of(DispatcherType.REQUEST);
+			}
 		}
 		Set<String> servletNames = new LinkedHashSet<>();
 		for (ServletRegistrationBean<?> servletRegistrationBean : this.servletRegistrationBeans) {
diff --git a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/FilterRegistrationBeanTests.java b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/FilterRegistrationBeanTests.java
index b1e7eff2b42..1d157be24c8 100644
--- a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/FilterRegistrationBeanTests.java
+++ b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/FilterRegistrationBeanTests.java
@@ -16,11 +16,20 @@
 
 package org.springframework.boot.web.servlet;
 
+import java.io.IOException;
+import java.util.EnumSet;
+
+import javax.servlet.DispatcherType;
 import javax.servlet.Filter;
+import javax.servlet.FilterChain;
+import javax.servlet.ServletException;
+import javax.servlet.http.HttpServletRequest;
+import javax.servlet.http.HttpServletResponse;
 
 import org.junit.jupiter.api.Test;
 
 import org.springframework.boot.web.servlet.mock.MockFilter;
+import org.springframework.web.filter.OncePerRequestFilter;
 
 import static org.assertj.core.api.Assertions.assertThatIllegalArgumentException;
 import static org.mockito.ArgumentMatchers.eq;
@@ -35,6 +44,16 @@ class FilterRegistrationBeanTests extends AbstractFilterRegistrationBeanTests {
 
 	private final MockFilter filter = new MockFilter();
 
+	private final OncePerRequestFilter oncePerRequestFilter = new OncePerRequestFilter() {
+
+		@Override
+		protected void doFilterInternal(HttpServletRequest request, HttpServletResponse response,
+				FilterChain filterChain) throws ServletException, IOException {
+			filterChain.doFilter(request, response);
+		}
+
+	};
+
 	@Test
 	void setFilter() throws Exception {
 		FilterRegistrationBean<Filter> bean = new FilterRegistrationBean<>();
@@ -63,6 +82,15 @@ class FilterRegistrationBeanTests extends AbstractFilterRegistrationBeanTests {
 				.withMessageContaining("ServletRegistrationBeans must not be null");
 	}
 
+	@Test
+	void startupWithOncePerRequestDefaults() throws Exception {
+		FilterRegistrationBean<?> bean = new FilterRegistrationBean<>(this.oncePerRequestFilter);
+		bean.onStartup(this.servletContext);
+		verify(this.servletContext).addFilter(eq("oncePerRequestFilter"), eq(this.oncePerRequestFilter));
+		verify(this.registration).setAsyncSupported(true);
+		verify(this.registration).addMappingForUrlPatterns(EnumSet.allOf(DispatcherType.class), false, "/*");
+	}
+
 	@Override
 	protected AbstractFilterRegistrationBean<MockFilter> createFilterRegistrationBean(
 			ServletRegistrationBean<?>... servletRegistrationBeans) {
diff --git a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/NoSpringWebFilterRegistrationBeanTests.java b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/NoSpringWebFilterRegistrationBeanTests.java
new file mode 100644
index 00000000000..bdfba615d2a
--- /dev/null
+++ b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/web/servlet/NoSpringWebFilterRegistrationBeanTests.java
@@ -0,0 +1,48 @@
+/*
+ * Copyright 2012-2020 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.
+ * You may obtain a copy of the License at
+ *
+ *      https://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.springframework.boot.web.servlet;
+
+import javax.servlet.Filter;
+
+import org.springframework.boot.testsupport.classpath.ClassPathExclusions;
+import org.springframework.boot.web.servlet.mock.MockFilter;
+
+import static org.mockito.ArgumentMatchers.eq;
+
+/**
+ * Tests for {@link FilterRegistrationBean} when {@code spring-web} is not on the
+ * classpath.
+ *
+ * @author Andy Wilkinson
+ */
+@ClassPathExclusions("spring-web-*.jar")
+public class NoSpringWebFilterRegistrationBeanTests extends AbstractFilterRegistrationBeanTests {
+
+	private final MockFilter filter = new MockFilter();
+
+	@Override
+	protected AbstractFilterRegistrationBean<MockFilter> createFilterRegistrationBean(
+			ServletRegistrationBean<?>... servletRegistrationBeans) {
+		return new FilterRegistrationBean<>(this.filter, servletRegistrationBeans);
+	}
+
+	@Override
+	protected Filter getExpectedFilter() {
+		return eq(this.filter);
+	}
+
+}