diff --git a/swh/loader/svn/replay.py b/swh/loader/svn/replay.py
--- a/swh/loader/svn/replay.py
+++ b/swh/loader/svn/replay.py
@@ -659,6 +659,13 @@
                 os.makedirs(b"/".join(temp_path.split(b"/")[:-1]), exist_ok=True)
                 if external_url not in self.editor.dead_externals:
                     logger.debug("Exporting external %s to path %s", external_url, path)
+                    url = external_url.rstrip("/")
+                    origin_url = self.svnrepo.origin_url.rstrip("/")
+                    if (
+                        url.startswith(origin_url + "/")
+                        and not self.svnrepo.has_relative_externals
+                    ):
+                        url = url.replace(origin_url, self.svnrepo.remote_url)
                     self.svnrepo.client.export(
                         external_url.rstrip("/"),
                         to=temp_path,
diff --git a/swh/loader/svn/tests/test_loader.py b/swh/loader/svn/tests/test_loader.py
--- a/swh/loader/svn/tests/test_loader.py
+++ b/swh/loader/svn/tests/test_loader.py
@@ -1887,6 +1887,12 @@
             CommitChange(change_type=CommitChangeType.AddOrUpdate, path="branches/",),
             CommitChange(change_type=CommitChangeType.AddOrUpdate, path="tags/",),
             CommitChange(change_type=CommitChangeType.AddOrUpdate, path="trunk/",),
+            CommitChange(
+                change_type=CommitChangeType.AddOrUpdate,
+                path="trunk/bar.sh",
+                properties={"svn:executable": "*"},
+                data=b"#!/bin/bash\necho bar",
+            ),
         ],
     )
 
@@ -1904,7 +1910,8 @@
                 properties={
                     "svn:externals": (
                         f"{svn_urljoin(external_repo_url, 'code/hello')} hello\n"
-                        f"{svn_urljoin(external_repo_url, 'foo.sh')} foo.sh"
+                        f"{svn_urljoin(external_repo_url, 'foo.sh')} foo.sh\n"
+                        f"{svn_urljoin(repo_url, 'trunk/bar.sh')} bar.sh"
                     )
                 },
             ),