"ClassNotFoundException" when trying to use Jackson in a CDI + JAX-RS application deployed into EAP 6

Issue

I have one application that uses the JSON Jackson library and when we try to deploy it we have ClassNotFound exception. The dependency is, however, available in development. The stack trace is similar to the following:

INFO  [org.jboss.weld.ClassLoading] (MSC service thread 1-1) catching: org.jboss.weld.resources.spi.ResourceLoadingException: Error loading class com.acme.YourClassThatUsesJackson
    at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:167) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.weld.bootstrap.BeanDeployer.loadWeldClass(BeanDeployer.java:108) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.weld.bootstrap.BeanDeployer.addClass(BeanDeployer.java:79) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.weld.bootstrap.BeanDeployer.addClasses(BeanDeployer.java:123) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.weld.bootstrap.BeanDeployment.createBeans(BeanDeployment.java:184) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.weld.bootstrap.WeldBootstrap.deployBeans(WeldBootstrap.java:350) [weld-core-1.1.8.Final-redhat-1.jar:1.1.8.Final-redhat-1]
    at org.jboss.as.weld.WeldContainer.start(WeldContainer.java:82) [jboss-as-weld-7.1.2.Final-redhat-1.jar:7.1.2.Final-redhat-1]
    at org.jboss.as.weld.services.WeldService.start(WeldService.java:76) [jboss-as-weld-7.1.2.Final-redhat-1.jar:7.1.2.Final-redhat-1]
    at org.jboss.msc.service.ServiceControllerImpl$StartTask.startService(ServiceControllerImpl.java:1811)
    at org.jboss.msc.service.ServiceControllerImpl$StartTask.run(ServiceControllerImpl.java:1746)
    at java.util.concurrent.ThreadPoolExecutor.runWorker(Unknown Source) [rt.jar:1.7.0_15]
    at java.util.concurrent.ThreadPoolExecutor$Worker.run(Unknown Source) [rt.jar:1.7.0_15]
    at java.lang.Thread.run(Unknown Source) [rt.jar:1.7.0_15]
Caused by: java.lang.NoClassDefFoundError: org/codehaus/jackson/map/JsonMappingException
... 
Caused by: java.lang.ClassNotFoundException: org.codehaus.jackson.map.JsonMappingException from [Module "deployment.teste-cdi-jackson.jar:main" from Service Module Loader]
...