Jackson2ObjectMapperBuilder prefers Jackson 2.6 JavaTimeModule over JSR310Module

Issue: SPR-13212

spring-web/src/main/java/org/springframework/http/converter/json/Jackson2ObjectMapperBuilder.java

@@ -674,17 +674,27 @@ public class Jackson2ObjectMapperBuilder {
 				// jackson-datatype-jdk8 not available
 			}
 		}
+
 		// Java 8 java.time package present?
 		if (ClassUtils.isPresent("java.time.LocalDate", this.moduleClassLoader)) {
+			try {
+				Class<? extends Module> javaTimeModule = (Class<? extends Module>)
+						ClassUtils.forName("com.fasterxml.jackson.datatype.jsr310.JavaTimeModule", this.moduleClassLoader);
+				objectMapper.registerModule(BeanUtils.instantiate(javaTimeModule));
+			}
+			catch (ClassNotFoundException ex) {
+				// jackson-datatype-jsr310 not available or older than 2.6
 				try {
 					Class<? extends Module> jsr310Module = (Class<? extends Module>)
 							ClassUtils.forName("com.fasterxml.jackson.datatype.jsr310.JSR310Module", this.moduleClassLoader);
 					objectMapper.registerModule(BeanUtils.instantiate(jsr310Module));
 				}
-			catch (ClassNotFoundException ex) {
-				// jackson-datatype-jsr310 not available
+				catch (ClassNotFoundException ex2) {
+					// OK, jackson-datatype-jsr310 not available at all...
+				}
 			}
 		}
+
 		// Joda-Time present?
 		if (ClassUtils.isPresent("org.joda.time.LocalDate", this.moduleClassLoader)) {
 			try {