diff --git a/README.md b/README.md
index 424b224c..95c8bec1 100644
--- a/README.md
+++ b/README.md
@@ -1146,9 +1146,9 @@ present so we'd love to hear your feedback! Please do remember to check
 ### Python Semantic Completion
 
 YCM relies on the [Jedi][] engine to provide completion and code navigation. By
-default, it will pick the latest version of Python available on your system and
-use its default `sys.path`. While this is fine for simple projects, this needs
-to be configurable when working with virtual environments or in a project with
+default, it will pick the version of Python running the [ycmd server][ycmd] and
+use its `sys.path`. While this is fine for simple projects, this needs to be
+configurable when working with virtual environments or in a project with
 third-party packages. The next sections explain how to do that.
 
 #### Working with virtual environments
diff --git a/doc/youcompleteme.txt b/doc/youcompleteme.txt
index d9b63271..30632ee3 100644
--- a/doc/youcompleteme.txt
+++ b/doc/youcompleteme.txt
@@ -1375,10 +1375,10 @@ for the list of diagnostics we'll need.
 Python Semantic Completion ~
 
 YCM relies on the Jedi [12] engine to provide completion and code navigation.
-By default, it will pick the latest version of Python available on your system
-and use its default 'sys.path'. While this is fine for simple projects, this
-needs to be configurable when working with virtual environments or in a project
-with third-party packages. The next sections explain how to do that.
+By default, it will pick the version of Python running the ycmd server [46] and
+use its 'sys.path'. While this is fine for simple projects, this needs to be
+configurable when working with virtual environments or in a project with third-
+party packages. The next sections explain how to do that.
 
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                               *youcompleteme-working-with-virtual-environments*