diff --git a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayAutoConfiguration.java b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayAutoConfiguration.java
index b159652197..6365e655c5 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayAutoConfiguration.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayAutoConfiguration.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2019 the original author or authors.
+ * 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.
@@ -206,6 +206,7 @@ public class FlywayAutoConfiguration {
 			map.from(properties.isOutOfOrder()).to(configuration::outOfOrder);
 			map.from(properties.isSkipDefaultCallbacks()).to(configuration::skipDefaultCallbacks);
 			map.from(properties.isSkipDefaultResolvers()).to(configuration::skipDefaultResolvers);
+			configureValidateMigrationNaming(configuration, properties.isValidateMigrationNaming());
 			map.from(properties.isValidateOnMigrate()).to(configuration::validateOnMigrate);
 			// Pro properties
 			map.from(properties.getBatch()).whenNonNull().to(configuration::batch);
@@ -220,6 +221,16 @@ public class FlywayAutoConfiguration {
 			map.from(properties.getUndoSqlMigrationPrefix()).whenNonNull().to(configuration::undoSqlMigrationPrefix);
 		}
 
+		private void configureValidateMigrationNaming(FluentConfiguration configuration,
+				boolean validateMigrationNaming) {
+			try {
+				configuration.validateMigrationNaming(validateMigrationNaming);
+			}
+			catch (NoSuchMethodError ex) {
+				// Flyway < 6.2
+			}
+		}
+
 		private void configureCallbacks(FluentConfiguration configuration, List<Callback> callbacks) {
 			if (!callbacks.isEmpty()) {
 				configuration.callbacks(callbacks.toArray(new Callback[0]));
diff --git a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayProperties.java b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayProperties.java
index d674320e22..b1557e1444 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayProperties.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/main/java/org/springframework/boot/autoconfigure/flyway/FlywayProperties.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2019 the original author or authors.
+ * 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.
@@ -230,6 +230,12 @@ public class FlywayProperties {
 	 */
 	private boolean skipDefaultResolvers;
 
+	/**
+	 * Whether to validate migrations and callbacks whose scripts do not obey the correct
+	 * naming convention.
+	 */
+	private boolean validateMigrationNaming = false;
+
 	/**
 	 * Whether to automatically call validate when performing a migration.
 	 */
@@ -581,6 +587,14 @@ public class FlywayProperties {
 		this.skipDefaultResolvers = skipDefaultResolvers;
 	}
 
+	public boolean isValidateMigrationNaming() {
+		return this.validateMigrationNaming;
+	}
+
+	public void setValidateMigrationNaming(boolean validateMigrationNaming) {
+		this.validateMigrationNaming = validateMigrationNaming;
+	}
+
 	public boolean isValidateOnMigrate() {
 		return this.validateOnMigrate;
 	}
diff --git a/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/flyway/FlywayPropertiesTests.java b/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/flyway/FlywayPropertiesTests.java
index 0fb2e902bc..1c23e3cb53 100644
--- a/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/flyway/FlywayPropertiesTests.java
+++ b/spring-boot-project/spring-boot-autoconfigure/src/test/java/org/springframework/boot/autoconfigure/flyway/FlywayPropertiesTests.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2019 the original author or authors.
+ * 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.
@@ -84,6 +84,7 @@ class FlywayPropertiesTests {
 		assertThat(configuration.isOutOfOrder()).isEqualTo(properties.isOutOfOrder());
 		assertThat(configuration.isSkipDefaultCallbacks()).isEqualTo(properties.isSkipDefaultCallbacks());
 		assertThat(configuration.isSkipDefaultResolvers()).isEqualTo(properties.isSkipDefaultResolvers());
+		assertThat(configuration.isValidateMigrationNaming()).isEqualTo(properties.isValidateMigrationNaming());
 		assertThat(configuration.isValidateOnMigrate()).isEqualTo(properties.isValidateOnMigrate());
 	}
 
diff --git a/spring-boot-project/spring-boot-dependencies/build.gradle b/spring-boot-project/spring-boot-dependencies/build.gradle
index bf4f8c3fd2..f61c364d13 100644
--- a/spring-boot-project/spring-boot-dependencies/build.gradle
+++ b/spring-boot-project/spring-boot-dependencies/build.gradle
@@ -335,7 +335,7 @@ bom {
 			]
 		}
 	}
-	library("Flyway", "6.1.3") {
+	library("Flyway", "6.2.0") {
 		group("org.flywaydb") {
 			modules = [
 				"flyway-core"