diff --git a/nibabel/dataobj_images.py b/nibabel/dataobj_images.py
index d7d082403d..9ba97789dc 100644
--- a/nibabel/dataobj_images.py
+++ b/nibabel/dataobj_images.py
@@ -56,6 +56,11 @@ def dataobj(self):
     def _data(self):
         return self._dataobj
 
+    @deprecate_with_version('get_data() is deprecated in favor of get_fdata(),'
+                            ' which has a more predictable return type. To '
+                            'obtain get_data() behavior going forward, use '
+                            'numpy.asanyarray(img.dataobj).',
+                            '3.0', '5.0')
     def get_data(self, caching='fill'):
         """ Return image data from image with any necessary scaling applied
 
diff --git a/nibabel/tests/test_removalschedule.py b/nibabel/tests/test_removalschedule.py
index 3e905a6446..ce1ba668b2 100644
--- a/nibabel/tests/test_removalschedule.py
+++ b/nibabel/tests/test_removalschedule.py
@@ -14,6 +14,12 @@
     ('1.0.0', [('nibabel', 'neverexisted')]),
     ]
 
+ATTRIBUTE_SCHEDULE = [
+    ('5.0.0', [('nibabel.dataobj_images', 'DataobjImage', 'get_data')]),
+    # Verify that the test will be quiet if the schedule outlives the modules
+    ('1.0.0', [('nibabel', 'Nifti1Image', 'neverexisted')]),
+    ]
+
 
 def test_module_removal():
     for version, to_remove in MODULE_SCHEDULE:
@@ -32,3 +38,19 @@ def test_object_removal():
                 except ImportError:
                     continue
                 assert_false(hasattr(module, obj), msg="Time to remove %s.%s" % (module_name, obj))
+
+
+def test_attribute_removal():
+    for version, to_remove in ATTRIBUTE_SCHEDULE:
+        if cmp_pkg_version(version) < 1:
+            for module_name, cls, attr in to_remove:
+                try:
+                    module = __import__(module_name)
+                except ImportError:
+                    continue
+                try:
+                    klass = getattr(module, cls)
+                except AttributeError:
+                    continue
+                assert_false(hasattr(klass, attr),
+                             msg="Time to remove %s.%s.%s" % (module_name, cls, attr))