diff --git a/jedi/evaluate/context/module.py b/jedi/evaluate/context/module.py
index 31d4b747..7dd85f16 100644
--- a/jedi/evaluate/context/module.py
+++ b/jedi/evaluate/context/module.py
@@ -143,7 +143,7 @@ class ModuleContext(ModuleMixin, TreeContext):
             tree_node=module_node
         )
         self._path = path
-        self._string_names = string_names
+        self.string_names = string_names
         self.code_lines = code_lines
 
     def _get_init_directory(self):
@@ -160,9 +160,9 @@ class ModuleContext(ModuleMixin, TreeContext):
         return None
 
     def py__name__(self):
-        if self._string_names is None:
+        if self.string_names is None:
             return None
-        return '.'.join(self._string_names)
+        return '.'.join(self.string_names)
 
     def py__file__(self):
         """
diff --git a/jedi/evaluate/imports.py b/jedi/evaluate/imports.py
index 62db5889..67274cd3 100644
--- a/jedi/evaluate/imports.py
+++ b/jedi/evaluate/imports.py
@@ -497,18 +497,14 @@ def get_modules_containing_name(evaluator, modules, name):
     """
     Search a name in the directories of modules.
     """
-    def check_directories(paths):
-        for p in paths:
-            if p is not None:
-                # We need abspath, because the seetings paths might not already
-                # have been converted to absolute paths.
-                d = os.path.dirname(os.path.abspath(p))
-                for file_name in os.listdir(d):
-                    path = os.path.join(d, file_name)
-                    if file_name.endswith('.py'):
-                        yield path
+    def check_directory(path):
+        d = os.path.dirname(os.path.abspath(path))
+        for file_name in os.listdir(d):
+            path = os.path.join(d, file_name)
+            if file_name.endswith('.py'):
+                yield path
 
-    def check_fs(path):
+    def check_fs(path, base_names):
         try:
             f = open(path, 'rb')
         except FileNotFoundError:
@@ -517,7 +513,15 @@ def get_modules_containing_name(evaluator, modules, name):
             code = python_bytes_to_unicode(f.read(), errors='replace')
             if name in code:
                 e_sys_path = evaluator.get_sys_path()
-                import_names = sys_path.calculate_dotted_path_from_sys_path(e_sys_path, path)
+                module_name = os.path.basename(path)
+                if module_name.endswith('.py'):
+                    module_name = module_name[:-3]
+
+                if base_names:
+                    import_names = base_names + (module_name,)
+                else:
+                    import_names = sys_path.calculate_dotted_path_from_sys_path(e_sys_path, path)
+
                 module = _load_module(
                     evaluator, path, code,
                     sys_path=e_sys_path,
@@ -528,26 +532,32 @@ def get_modules_containing_name(evaluator, modules, name):
 
     # skip non python modules
     used_mod_paths = set()
+    path_with_names_to_be_checked = []
     for m in modules:
         try:
             path = m.py__file__()
         except AttributeError:
             pass
         else:
-            used_mod_paths.add(path)
+            if path is not None:
+                if path not in used_mod_paths:
+                    used_mod_paths.add(path)
+                    string_names = m.string_names
+                    if not m.is_package() and string_names is not None:
+                        string_names = string_names[:-1]
+                    path_with_names_to_be_checked.append((path, string_names))
         yield m
 
     if not settings.dynamic_params_for_other_modules:
         return
 
-    additional = set(os.path.abspath(p) for p in settings.additional_dynamic_modules)
-    # Check the directories of used modules.
-    paths = (additional | set(check_directories(used_mod_paths))) \
-            - used_mod_paths
+    for p in settings.additional_dynamic_modules:
+        p = os.path.abspath(p)
+        if p not in used_mod_paths:
+            path_with_names_to_be_checked.append((p, None))
 
-    # Sort here to make issues less random.
-    for p in sorted(paths):
-        # make testing easier, sort it - same results on every interpreter
-        m = check_fs(p)
-        if m is not None and not isinstance(m, compiled.CompiledObject):
-            yield m
+    for p, base_names in path_with_names_to_be_checked:
+        for file_path in check_directory(p):
+            m = check_fs(file_path, base_names)
+            if m is not None and not isinstance(m, compiled.CompiledObject):
+                yield m
diff --git a/test/test_evaluate/test_imports.py b/test/test_evaluate/test_imports.py
index ec349c01..4a06e2bd 100644
--- a/test/test_evaluate/test_imports.py
+++ b/test/test_evaluate/test_imports.py
@@ -9,6 +9,7 @@ import pytest
 
 from jedi._compatibility import find_module_py33, find_module
 from jedi.evaluate import compiled
+from jedi.evaluate import imports
 from ..helpers import cwd_at
 
 
@@ -251,3 +252,21 @@ def test_compiled_import_none(monkeypatch, Script):
     """
     monkeypatch.setattr(compiled, 'load_module', lambda *args, **kwargs: None)
     assert not Script('import sys').goto_definitions()
+
+
+@pytest.mark.parametrize(
+    ('path', 'goal'), [
+        ('test_evaluate/test_docstring.py', ('ok', 'lala', 'test_imports')),
+        ('test_evaluate/__init__.py', ('ok', 'lala', 'x', 'test_imports')),
+    ]
+)
+def test_get_modules_containing_name(evaluator, path, goal):
+    module = imports._load_module(evaluator, path, import_names=('ok', 'lala', 'x'))
+    assert module
+    input_module, found_module = imports.get_modules_containing_name(
+        evaluator,
+        [module],
+        'string_that_only_exists_here'
+    )
+    assert input_module is module
+    assert found_module.string_names == goal