diff --git a/src/juv/_run.py b/src/juv/_run.py
index d41d93f..e27a750 100644
--- a/src/juv/_run.py
+++ b/src/juv/_run.py
@@ -87,8 +87,19 @@ def run(  # noqa: PLR0913
     elif mode == "managed":
         from ._run_managed import run as run_managed
 
-        run_managed(script, args, str(path), lockfile_contents)
+        run_managed(
+            script=script,
+            args=args,
+            filename=str(path),
+            lockfile_contents=lockfile_contents,
+            dir=target.parent,
+        )
     else:
         from ._run_replace import run as run_replace
 
-        run_replace(script, args, lockfile_contents)
+        run_replace(
+            script=script,
+            args=args,
+            lockfile_contents=lockfile_contents,
+            dir=target.parent,
+        )
diff --git a/src/juv/_run_managed.py b/src/juv/_run_managed.py
index a473482..d997231 100644
--- a/src/juv/_run_managed.py
+++ b/src/juv/_run_managed.py
@@ -105,7 +105,11 @@ def display(url: str) -> None:
 
 
 def run(
-    script: str, args: list[str], filename: str, lockfile_contents: str | None
+    script: str,
+    args: list[str],
+    filename: str,
+    lockfile_contents: str | None,
+    dir: Path,  # noqa: A002
 ) -> None:
     console = Console()
     output_queue = Queue()
@@ -114,6 +118,7 @@ def run(
         mode="w+",
         delete=True,
         suffix=".py",
+        dir=dir,
         encoding="utf-8",
     ) as f:
         lockfile = Path(f"{f.name}.lock")
diff --git a/src/juv/_run_replace.py b/src/juv/_run_replace.py
index 998c601..c8cbbc7 100644
--- a/src/juv/_run_replace.py
+++ b/src/juv/_run_replace.py
@@ -12,11 +12,12 @@
 IS_WINDOWS = sys.platform.startswith("win")
 
 
-def run(script: str, args: list[str], lockfile_contents: str | None) -> None:
+def run(script: str, args: list[str], lockfile_contents: str | None, dir: Path) -> None:  # noqa: A002
     with tempfile.NamedTemporaryFile(
         mode="w+",
         delete=True,
         suffix=".py",
+        dir=dir,
         encoding="utf-8",
     ) as f:
         lockfile = Path(f"{f.name}.lock")
diff --git a/src/juv/_run_template.py b/src/juv/_run_template.py
index 3857631..14c0502 100644
--- a/src/juv/_run_template.py
+++ b/src/juv/_run_template.py
@@ -88,6 +88,20 @@ def update_uv_lock(notebook_path: str):
 update_uv_lock(r"{notebook}")
 """
 
+DELETE_RUN_SCRIPT_AND_LOCKFILE = """
+import os
+from pathlib import Path
+
+def delete_run_script_and_lockfile():
+    Path(str(__file__)).unlink(missing_ok=True)
+    lockfile_path = os.environ.get("JUV_LOCKFILE_PATH")
+    if not lockfile_path:
+        return
+    Path(lockfile_path).unlink(missing_ok=True)
+
+delete_run_script_and_lockfile()
+"""
+
 
 SETUP_JUPYTER_DATA_DIR = """
 import tempfile
@@ -157,6 +171,7 @@ def handle_termination(signum, frame):
 from jupyterlab.labapp import main
 
 {UPDATE_LOCKFILE}
+{DELETE_RUN_SCRIPT_AND_LOCKFILE}
 {SETUP_JUPYTER_DATA_DIR}
 
 if {is_managed}:
@@ -177,6 +192,7 @@ def handle_termination(signum, frame):
 from notebook.app import main
 
 {UPDATE_LOCKFILE}
+{DELETE_RUN_SCRIPT_AND_LOCKFILE}
 {SETUP_JUPYTER_DATA_DIR}
 
 if {is_managed}:
@@ -197,6 +213,7 @@ def handle_termination(signum, frame):
 from notebook.notebookapp import main
 
 {UPDATE_LOCKFILE}
+{DELETE_RUN_SCRIPT_AND_LOCKFILE}
 {SETUP_JUPYTER_DATA_DIR}
 
 if {is_managed}:
@@ -217,6 +234,7 @@ def handle_termination(signum, frame):
 from nbclassic.notebookapp import main
 
 {UPDATE_LOCKFILE}
+{DELETE_RUN_SCRIPT_AND_LOCKFILE}
 {SETUP_JUPYTER_DATA_DIR}
 
 if {is_managed}:
@@ -247,6 +265,7 @@ def prepare_run_script_and_uv_run_args(  # noqa: PLR0913
         args=jupyter_args,
         SETUP_JUPYTER_DATA_DIR=SETUP_JUPYTER_DATA_DIR,
         UPDATE_LOCKFILE=UPDATE_LOCKFILE.format(notebook=target),
+        DELETE_RUN_SCRIPT_AND_LOCKFILE=DELETE_RUN_SCRIPT_AND_LOCKFILE,
         is_managed=mode == "managed",
     )
     args = [