diff --git a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfiguration.java b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfiguration.java
index a3ceb5a91f..70ade77b05 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfiguration.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfiguration.java
@@ -18,6 +18,7 @@ package org.springframework.boot.autoconfigure.context;
 
 import org.springframework.boot.autoconfigure.EnableAutoConfiguration;
 import org.springframework.boot.autoconfigure.condition.ConditionalOnMissingBean;
+import org.springframework.boot.autoconfigure.condition.SearchStrategy;
 import org.springframework.boot.context.properties.EnableConfigurationProperties;
 import org.springframework.context.annotation.Bean;
 import org.springframework.context.annotation.Configuration;
@@ -36,7 +37,8 @@ import org.springframework.context.support.DefaultLifecycleProcessor;
 public class LifecycleAutoConfiguration {
 
 	@Bean(name = AbstractApplicationContext.LIFECYCLE_PROCESSOR_BEAN_NAME)
-	@ConditionalOnMissingBean(name = AbstractApplicationContext.LIFECYCLE_PROCESSOR_BEAN_NAME)
+	@ConditionalOnMissingBean(name = AbstractApplicationContext.LIFECYCLE_PROCESSOR_BEAN_NAME,
+			search = SearchStrategy.CURRENT)
 	public DefaultLifecycleProcessor defaultLifecycleProcessor(LifecycleProperties properties) {
 		DefaultLifecycleProcessor lifecycleProcessor = new DefaultLifecycleProcessor();
 		lifecycleProcessor.setTimeoutPerShutdownPhase(properties.getTimeoutPerShutdownPhase().toMillis());
diff --git a/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfigurationTests.java b/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfigurationTests.java
index 8b80f5ed4c..f34f7c3999 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfigurationTests.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/context/LifecycleAutoConfigurationTests.java
@@ -55,6 +55,18 @@ public class LifecycleAutoConfigurationTests {
 		});
 	}
 
+	@Test
+	void lifecycleProcessorIsConfiguredWithCustomDefaultTimeoutInAChildContext() {
+		new ApplicationContextRunner().run((parent) -> {
+			this.contextRunner.withParent(parent).withPropertyValues("spring.lifecycle.timeout-per-shutdown-phase=15s")
+					.run((child) -> {
+						assertThat(child).hasBean(AbstractApplicationContext.LIFECYCLE_PROCESSOR_BEAN_NAME);
+						Object processor = child.getBean(AbstractApplicationContext.LIFECYCLE_PROCESSOR_BEAN_NAME);
+						assertThat(processor).extracting("timeoutPerShutdownPhase").isEqualTo(15000L);
+					});
+		});
+	}
+
 	@Test
 	void whenUserDefinesALifecycleProcessorBeanThenTheAutoConfigurationBacksOff() {
 		this.contextRunner.withUserConfiguration(LifecycleProcessorConfiguration.class).run((context) -> {