diff --git a/jedi/api/completion.py b/jedi/api/completion.py
index f8853cdf..86636db1 100644
--- a/jedi/api/completion.py
+++ b/jedi/api/completion.py
@@ -48,11 +48,7 @@ def filter_names(inference_state, completion_names, stack, like_name, fuzzy, cac
         string = name.string_name
         if settings.case_insensitive_completion:
             string = string.lower()
-        if fuzzy:
-            match = helpers.fuzzy_match(string, like_name)
-        else:
-            match = helpers.start_match(string, like_name)
-        if match:
+        if helpers.match(string, like_name, fuzzy=fuzzy):
             new = classes.Completion(
                 inference_state,
                 name,
diff --git a/jedi/api/file_name.py b/jedi/api/file_name.py
index 11994074..3bce430d 100644
--- a/jedi/api/file_name.py
+++ b/jedi/api/file_name.py
@@ -3,7 +3,7 @@ import os
 from jedi._compatibility import FileNotFoundError, force_unicode, scandir
 from jedi.api import classes
 from jedi.api.strings import StringName, get_quote_ending
-from jedi.api.helpers import fuzzy_match, start_match
+from jedi.api.helpers import match
 from jedi.inference.helpers import get_str_or_none
 
 
@@ -42,11 +42,7 @@ def complete_file_name(inference_state, module_context, start_leaf, string,
         return
     for entry in listed:
         name = entry.name
-        if fuzzy:
-            match = fuzzy_match(name, must_start_with)
-        else:
-            match = start_match(name, must_start_with)
-        if match:
+        if match(name, must_start_with, fuzzy=fuzzy):
             if is_in_os_path_join or not entry.is_dir():
                 name += get_quote_ending(start_leaf.value, code_lines, position)
             else:
diff --git a/jedi/api/helpers.py b/jedi/api/helpers.py
index fbfbdb31..cd6c70c4 100644
--- a/jedi/api/helpers.py
+++ b/jedi/api/helpers.py
@@ -20,19 +20,26 @@ from jedi.cache import signature_time_cache
 CompletionParts = namedtuple('CompletionParts', ['path', 'has_dot', 'name'])
 
 
-def start_match(string, like_name):
+def _start_match(string, like_name):
     return string.startswith(like_name)
 
 
-def fuzzy_match(string, like_name):
+def _fuzzy_match(string, like_name):
     if len(like_name) <= 1:
         return like_name in string
     pos = string.find(like_name[0])
     if pos >= 0:
-        return fuzzy_match(string[pos + 1:], like_name[1:])
+        return _fuzzy_match(string[pos + 1:], like_name[1:])
     return False
 
 
+def match(string, like_name, fuzzy=False):
+    if fuzzy:
+        return _fuzzy_match(string, like_name)
+    else:
+        return _start_match(string, like_name)
+
+
 def sorted_definitions(defs):
     # Note: `or ''` below is required because `module_path` could be
     return sorted(defs, key=lambda x: (x.module_path or '', x.line or 0, x.column or 0, x.name))
diff --git a/test/test_api/test_completion.py b/test/test_api/test_completion.py
index 7d5d183f..153928b4 100644
--- a/test/test_api/test_completion.py
+++ b/test/test_api/test_completion.py
@@ -6,7 +6,7 @@ from textwrap import dedent
 import pytest
 
 from ..helpers import root_dir
-from jedi.api.helpers import start_match, fuzzy_match
+from jedi.api.helpers import _start_match, _fuzzy_match
 
 
 def test_in_whitespace(Script):
@@ -386,15 +386,15 @@ def test_dict_keys_completions(Script, added_code, column, expected, skip_pre_py
 
 
 def test_start_match():
-    assert start_match('Condition', 'C')
+    assert _start_match('Condition', 'C')
 
 
 def test_fuzzy_match():
-    assert fuzzy_match('Condition', 'i')
-    assert not fuzzy_match('Condition', 'p')
-    assert fuzzy_match('Condition', 'ii')
-    assert not fuzzy_match('Condition', 'Ciito')
-    assert fuzzy_match('Condition', 'Cdiio')
+    assert _fuzzy_match('Condition', 'i')
+    assert not _fuzzy_match('Condition', 'p')
+    assert _fuzzy_match('Condition', 'ii')
+    assert not _fuzzy_match('Condition', 'Ciito')
+    assert _fuzzy_match('Condition', 'Cdiio')
 
 
 def test_ellipsis_completion(Script):