diff --git a/pylsp/plugins/jedi_completion.py b/pylsp/plugins/jedi_completion.py
index 2ecf0bec..65f75239 100644
--- a/pylsp/plugins/jedi_completion.py
+++ b/pylsp/plugins/jedi_completion.py
@@ -88,6 +88,7 @@ def pylsp_completions(config, document, position):
             include_params=include_params if c.type in ["class", "function"] else False,
             resolve=resolve_eagerly,
             resolve_label_or_snippet=(i < max_to_resolve),
+            snippet_support=snippet_support,
         )
         for i, c in enumerate(completions)
     ]
@@ -102,6 +103,7 @@ def pylsp_completions(config, document, position):
                     include_params=False,
                     resolve=resolve_eagerly,
                     resolve_label_or_snippet=(i < max_to_resolve),
+                    snippet_support=snippet_support,
                 )
                 completion_dict["kind"] = lsp.CompletionItemKind.TypeParameter
                 completion_dict["label"] += " object"
@@ -116,6 +118,7 @@ def pylsp_completions(config, document, position):
                     include_params=False,
                     resolve=resolve_eagerly,
                     resolve_label_or_snippet=(i < max_to_resolve),
+                    snippet_support=snippet_support,
                 )
                 completion_dict["kind"] = lsp.CompletionItemKind.TypeParameter
                 completion_dict["label"] += " object"
@@ -226,6 +229,7 @@ def _format_completion(
     include_params=True,
     resolve=False,
     resolve_label_or_snippet=False,
+    snippet_support=False,
 ):
     completion = {
         "label": _label(d, resolve_label_or_snippet),
@@ -240,16 +244,20 @@ def _format_completion(
     # Adjustments for file completions
     if d.type == "path":
         path = os.path.normpath(d.name)
-        path = path.replace("\\", "\\\\")
-        path = path.replace("/", "\\/")
 
-        # If the completion ends with os.sep, it means it's a directory. So we add an escaped os.sep
-        # at the end to ease additional file completions.
+        # If the completion ends with os.sep, it means it's a directory. So we add os.sep at the end
+        # to ease additional file completions.
         if d.name.endswith(os.sep):
             if os.name == "nt":
-                path = path + "\\\\"
+                path = path + "\\"
             else:
-                path = path + "\\/"
+                path = path + "/"
+
+        # Escape to prevent conflicts with the code snippets grammer
+        # See also https://github.com/python-lsp/python-lsp-server/issues/373
+        if snippet_support:
+            path = path.replace("\\", "\\\\")
+            path = path.replace("/", "\\/")
 
         completion["insertText"] = path
 
diff --git a/test/plugins/test_completion.py b/test/plugins/test_completion.py
index 00a54eb7..f64e81ed 100644
--- a/test/plugins/test_completion.py
+++ b/test/plugins/test_completion.py
@@ -583,9 +583,18 @@ def test_file_completions(workspace, tmpdir):
     # Check completions
     assert len(completions) == 2
     assert [c["kind"] == lsp.CompletionItemKind.File for c in completions]
-    assert (
-        completions[0]["insertText"] == ("bar" + "\\\\")
-        if os.name == "nt"
-        else ("bar" + "\\/")
+    assert completions[0]["insertText"] == (
+        ("bar" + "\\") if os.name == "nt" else ("bar" + "/")
+    )
+    assert completions[1]["insertText"] == 'foo.txt"'
+
+    # When snippets are supported, ensure that path separators are escaped.
+    support_snippet = {
+        "textDocument": {"completion": {"completionItem": {"snippetSupport": True}}}
+    }
+    doc._config.capabilities.update(support_snippet)
+    completions = pylsp_jedi_completions(doc._config, doc, com_position)
+    assert completions[0]["insertText"] == (
+        ("bar" + "\\\\") if os.name == "nt" else ("bar" + "\\/")
     )
     assert completions[1]["insertText"] == 'foo.txt"'