diff --git a/setup.py b/setup.py
index 46ebfafbc..facd2d1b7 100644
--- a/setup.py
+++ b/setup.py
@@ -74,7 +74,6 @@
         "connection_pool >=0.0.3",
         "pulp >=2.0",
         "smart_open >=3.0",
-        "filelock",
         "stopit",
         "tabulate",
         "yte >=1.0,<2.0",
diff --git a/snakemake/sourcecache.py b/snakemake/sourcecache.py
index c3dceb43e..dc768726b 100644
--- a/snakemake/sourcecache.py
+++ b/snakemake/sourcecache.py
@@ -7,6 +7,7 @@
 from pathlib import Path
 import re
 import os
+import shutil
 from snakemake import utils
 import tempfile
 import io
@@ -308,11 +309,6 @@ def __init__(self, runtime_cache_path=None):
     def runtime_cache_path(self):
         return self._runtime_cache_path or self.runtime_cache.name
 
-    def lock_cache(self, entry):
-        from filelock import FileLock
-
-        return FileLock(entry.with_suffix(".lock"))
-
     def open(self, source_file, mode="r"):
         cache_entry = self._cache(source_file)
         return self._open(cache_entry, mode)
@@ -341,17 +337,22 @@ def _cache_entry(self, source_file):
 
     def _cache(self, source_file):
         cache_entry = self._cache_entry(source_file)
-        with self.lock_cache(cache_entry):
-            if not cache_entry.exists():
-                self._do_cache(source_file, cache_entry)
+        if not cache_entry.exists():
+            self._do_cache(source_file, cache_entry)
         return cache_entry
 
     def _do_cache(self, source_file, cache_entry):
         # open from origin
-        with self._open(source_file.get_path_or_uri(), "rb") as source, open(
-            cache_entry, "wb"
-        ) as cache_source:
-            cache_source.write(source.read())
+        with self._open(source_file.get_path_or_uri(), "rb") as source:
+            tmp_source = tempfile.NamedTemporaryFile(
+                prefix=str(cache_entry),
+                delete=False,  # no need to delete since we move it below
+            )
+            tmp_source.write(source.read())
+            tmp_source.close()
+            # Atomic move to right name.
+            # This way we avoid the need to lock.
+            shutil.move(tmp_source.name, cache_entry)
 
         mtime = source_file.mtime()
         if mtime is not None: