diff --git a/telethon/client/downloads.py b/telethon/client/downloads.py
index ad2611b3..e2f1a382 100644
--- a/telethon/client/downloads.py
+++ b/telethon/client/downloads.py
@@ -200,10 +200,13 @@ class DownloadMethods(UserMethods):
         else:
             f = file
 
-        # The used sender will change if ``FileMigrateError`` occurs
-        sender = self._sender
-        exported = False
-        input_location = utils.get_input_location(input_location)
+        dc_id, input_location = utils.get_input_location(input_location)
+        exported = dc_id and self.session.dc_id != dc_id
+        if exported:
+            sender = await self._borrow_exported_sender(dc_id)
+        else:
+            # The used sender will also change if ``FileMigrateError`` occurs
+            sender = self._sender
 
         __log__.info('Downloading file in chunks of %d bytes', part_size)
         try:
diff --git a/telethon/sessions/memory.py b/telethon/sessions/memory.py
index acd09a77..a6c70b97 100644
--- a/telethon/sessions/memory.py
+++ b/telethon/sessions/memory.py
@@ -42,6 +42,10 @@ class MemorySession(Session):
         self._server_address = server_address
         self._port = port
 
+    @property
+    def dc_id(self):
+        return self._dc_id
+
     @property
     def server_address(self):
         return self._server_address
diff --git a/telethon/utils.py b/telethon/utils.py
index e5bdb614..b5affe9b 100644
--- a/telethon/utils.py
+++ b/telethon/utils.py
@@ -537,10 +537,15 @@ def sanitize_parse_mode(mode):
 
 
 def get_input_location(location):
-    """Similar to :meth:`get_input_peer`, but for input messages."""
+    """
+    Similar to :meth:`get_input_peer`, but for input messages.
+
+    Note that this returns a tuple ``(dc_id, location)``, the
+    ``dc_id`` being present if known.
+    """
     try:
         if location.SUBCLASS_OF_ID == 0x1523d462:
-            return location  # crc32(b'InputFileLocation'):
+            return None, location  # crc32(b'InputFileLocation'):
     except AttributeError:
         _raise_cast_fail(location, 'InputFileLocation')
 
@@ -553,8 +558,8 @@ def get_input_location(location):
         location = location.photo
 
     if isinstance(location, Document):
-        return InputDocumentFileLocation(
-            location.id, location.access_hash, location.version)
+        return (location.dc_id, InputDocumentFileLocation(
+            location.id, location.access_hash, location.version))
     elif isinstance(location, Photo):
         try:
             location = next(x for x in reversed(location.sizes)
@@ -563,8 +568,8 @@ def get_input_location(location):
             pass
 
     if isinstance(location, (FileLocation, FileLocationUnavailable)):
-        return InputFileLocation(
-            location.volume_id, location.local_id, location.secret)
+        return (getattr(location, 'dc_id', None), InputFileLocation(
+            location.volume_id, location.local_id, location.secret))
 
     _raise_cast_fail(location, 'InputFileLocation')