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..49107b629e 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.
@@ -218,6 +218,8 @@ public class FlywayAutoConfiguration {
 					.to((oracleSqlplusWarn) -> configuration.oracleSqlplusWarn(oracleSqlplusWarn));
 			map.from(properties.getStream()).whenNonNull().to(configuration::stream);
 			map.from(properties.getUndoSqlMigrationPrefix()).whenNonNull().to(configuration::undoSqlMigrationPrefix);
+			// No method reference for compatibility with Flyway version < 6.2
+			configureValidateMigrationNaming(configuration, properties.isValidateMigrationNaming());
 		}
 
 		private void configureCallbacks(FluentConfiguration configuration, List<Callback> callbacks) {
@@ -243,6 +245,15 @@ public class FlywayAutoConfiguration {
 			}
 		}
 
+		private void configureValidateMigrationNaming(FluentConfiguration flyway, boolean isValidateMigrationNaming) {
+			try {
+				flyway.validateMigrationNaming(isValidateMigrationNaming);
+			}
+			catch (NoSuchMethodError ex) {
+				// Flyway < v6.2
+			}
+		}
+
 		private String getProperty(Supplier<String> property, Supplier<String> defaultValue) {
 			String value = property.get();
 			return (value != null) ? value : defaultValue.get();
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..e82c2bb1ed 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.
@@ -209,6 +209,12 @@ public class FlywayProperties {
 	 */
 	private boolean ignoreFutureMigrations = true;
 
+	/**
+	 * Whether to validate migrations and callbacks whose scripts do not obey the correct
+	 * naming convention.
+	 */
+	private boolean validateMigrationNaming = false;
+
 	/**
 	 * Whether to allow mixing transactional and non-transactional statements within the
 	 * same migration.
@@ -549,6 +555,14 @@ public class FlywayProperties {
 		this.ignoreFutureMigrations = ignoreFutureMigrations;
 	}
 
+	public boolean isValidateMigrationNaming() {
+		return this.validateMigrationNaming;
+	}
+
+	public void setValidateMigrationNaming(boolean validateMigrationNaming) {
+		this.validateMigrationNaming = validateMigrationNaming;
+	}
+
 	public boolean isMixed() {
 		return this.mixed;
 	}
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..894669ea81 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.
@@ -80,6 +80,7 @@ class FlywayPropertiesTests {
 		assertThat(configuration.isIgnoreIgnoredMigrations()).isEqualTo(properties.isIgnoreIgnoredMigrations());
 		assertThat(configuration.isIgnorePendingMigrations()).isEqualTo(properties.isIgnorePendingMigrations());
 		assertThat(configuration.isIgnoreFutureMigrations()).isEqualTo(properties.isIgnoreFutureMigrations());
+		assertThat(configuration.isValidateMigrationNaming()).isEqualTo(properties.isValidateMigrationNaming());
 		assertThat(configuration.isMixed()).isEqualTo(properties.isMixed());
 		assertThat(configuration.isOutOfOrder()).isEqualTo(properties.isOutOfOrder());
 		assertThat(configuration.isSkipDefaultCallbacks()).isEqualTo(properties.isSkipDefaultCallbacks());
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"