diff --git a/jedi/utils.py b/jedi/utils.py
index 60df84d9..40e1a56e 100644
--- a/jedi/utils.py
+++ b/jedi/utils.py
@@ -75,7 +75,10 @@ def setup_readline(namespace=__main__.__dict__):
                     # use the "default" completion with ``getattr`` if
                     # possible.
                     path, dot, like = interpreter._get_completion_parts()
-                    if not path or re.match('^[\w][\w\d.]*$', path):
+                    # Shouldn't be an import statement and just a simple path
+                    # with dots.
+                    if not re.match('^\s*(import|from) ', text) \
+                            and (not path or re.match('^[\w][\w\d.]*$', path)):
                         paths = path.split('.') if path else []
                         namespaces = (namespace, builtins.__dict__)
                         for p in paths:
diff --git a/test/test_utils.py b/test/test_utils.py
index 1e796452..3fc2a27e 100644
--- a/test/test_utils.py
+++ b/test/test_utils.py
@@ -46,8 +46,16 @@ class TestSetupReadline():
         del self.namespace['sys']
         del self.namespace['os']
 
+    def test_import(self):
+        assert self.completions('import keyword') == ['keyword']
+
     def test_colorama(self):
-        """Only test it if colorama library is available"""
+        """
+        Only test it if colorama library is available.
+
+        This module is being tested because it uses ``setattr`` at some point,
+        which Jedi doesn't understand, but it should still work in the REPL.
+        """
         try:
             # if colorama is installed
             import colorama
@@ -56,4 +64,5 @@ class TestSetupReadline():
         else:
             self.namespace['colorama'] = colorama
             assert self.completions('colorama')
+            assert self.completions('colorama.Fore.BLACK') == ['colorama.Fore.BLACK']
             del self.namespace['colorama']