diff --git a/Lib/zipfile.py b/Lib/zipfile.py
index 721834aff1..60d71199b0 100644
--- a/Lib/zipfile.py
+++ b/Lib/zipfile.py
@@ -1813,8 +1813,10 @@ def writestr(self, zinfo_or_arcname, data,
         if isinstance(data, str):
             data = data.encode("utf-8")
         if not isinstance(zinfo_or_arcname, ZipInfo):
+            time_ = os.environ.get('SOURCE_DATE_EPOCH') or time.time()
+            date_time = time.gmtime(time_)[:6]
             zinfo = ZipInfo(filename=zinfo_or_arcname,
-                            date_time=time.localtime(time.time())[:6])
+                            date_time=date_time)
             zinfo.compress_type = self.compression
             zinfo._compresslevel = self.compresslevel
             if zinfo.filename[-1] == '/':