diff --git a/src/XrdCl/XrdClClassicCopyJob.cc b/src/XrdCl/XrdClClassicCopyJob.cc
index fe9c42c7563..ef2432d7b10 100644
--- a/src/XrdCl/XrdClClassicCopyJob.cc
+++ b/src/XrdCl/XrdClClassicCopyJob.cc
@@ -991,6 +991,7 @@ namespace
       //------------------------------------------------------------------------
       ~XRootDSourceZip()
       {
+        CleanUpChunks();
         XrdCl::XRootDStatus status = pZipArchive->Close();
         delete pZipArchive;
       }