diff --git a/demo.bat b/demo.bat
index 9091bb2..a4319fc 100644
--- a/demo.bat
+++ b/demo.bat
@@ -7,6 +7,15 @@ if not exist target\debug\examples\deletes-itself.exe (
     echo   deletes-itself.exe was successfully deleted
 )
 
+echo.
+echo Run deletes-itself-at.exe
+target\debug\examples\deletes-itself-at.exe
+if not exist target\debug\examples\deletes-itself-at.exe (
+    if not exist target\debug\examples\deletes-itself-renamed.exe (
+        echo   deletes-itself-at.exe and deletes-itself-renamed.exe were successfully deleted
+    )
+)
+
 echo.
 echo Run hello.exe
 target\debug\examples\hello.exe
diff --git a/demo.sh b/demo.sh
index 27ca014..f439db2 100755
--- a/demo.sh
+++ b/demo.sh
@@ -7,6 +7,14 @@ if [ ! -f target/debug/examples/deletes-itself ]; then
   echo "  deletes-itself.exe was successfully deleted"
 fi
 
+echo
+echo "Run deletes-itself-at.exe"
+target/debug/examples/deletes-itself-at
+
+if [ ! -f target/debug/examples/deletes-itself-renamed ] && [ ! -f target/debug/examples/deletes-itself-at ]; then
+  echo "  deletes-itself-at.exe and deletes-itself-renamed.exe were successfully deleted"
+fi
+
 echo
 echo "Run hello.exe"
 target/debug/examples/hello
diff --git a/examples/deletes-itself-at.rs b/examples/deletes-itself-at.rs
new file mode 100644
index 0000000..f2d862d
--- /dev/null
+++ b/examples/deletes-itself-at.rs
@@ -0,0 +1,15 @@
+fn main() {
+    println!("When I finish, I am deleted");
+    let exe = std::env::current_exe().unwrap().canonicalize().unwrap();
+    let exe_renamed = exe.with_file_name(format!(
+        "deletes-itself-renamed{}",
+        std::env::consts::EXE_SUFFIX
+    ));
+
+    std::fs::rename(exe, &exe_renamed).unwrap();
+    self_replace::self_delete_at(exe_renamed).unwrap();
+
+    if std::env::var("FORCE_EXIT").ok().as_deref() == Some("1") {
+        std::process::exit(0);
+    }
+}
diff --git a/src/lib.rs b/src/lib.rs
index 5c24702..eaf8708 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -133,13 +133,20 @@ mod windows;
 /// # Ok(()) }
 /// ```
 pub fn self_delete() -> Result<(), io::Error> {
+    self_delete_at(std::env::current_exe()?)
+}
+
+/// Like [`self_delete`] but accepts a path which is assumed to be the current executable path.
+///
+/// This can be useful if the executable was moved to a different location while it was running.
+pub fn self_delete_at<P: AsRef<Path>>(exe: P) -> Result<(), io::Error> {
     #[cfg(unix)]
     {
-        crate::unix::self_delete()
+        crate::unix::self_delete(exe.as_ref())
     }
     #[cfg(windows)]
     {
-        crate::windows::self_delete(None)
+        crate::windows::self_delete(exe.as_ref(), None)
     }
 }
 
@@ -150,14 +157,15 @@ pub fn self_delete() -> Result<(), io::Error> {
 /// of the deletion operation.  This is necessary to demolish folder more complex folder
 /// structures on Windows.
 pub fn self_delete_outside_path<P: AsRef<Path>>(p: P) -> Result<(), io::Error> {
+    let exe = std::env::current_exe()?;
     #[cfg(unix)]
     {
         let _ = p;
-        crate::unix::self_delete()
+        crate::unix::self_delete(&exe)
     }
     #[cfg(windows)]
     {
-        crate::windows::self_delete(Some(p.as_ref()))
+        crate::windows::self_delete(&exe, Some(p.as_ref()))
     }
 }
 
diff --git a/src/unix.rs b/src/unix.rs
index 98e0c7f..56535c8 100644
--- a/src/unix.rs
+++ b/src/unix.rs
@@ -4,8 +4,8 @@ use std::io;
 use std::path::Path;
 
 /// On Unix a running executable can be safely deleted.
-pub fn self_delete() -> Result<(), io::Error> {
-    let exe = env::current_exe()?.canonicalize()?;
+pub fn self_delete(exe: &Path) -> Result<(), io::Error> {
+    let exe = exe.canonicalize()?;
     fs::remove_file(exe)?;
     Ok(())
 }
diff --git a/src/windows.rs b/src/windows.rs
index d75deb6..27da2e2 100644
--- a/src/windows.rs
+++ b/src/windows.rs
@@ -273,9 +273,8 @@ fn get_directory_of(p: &Path) -> Result<&Path, io::Error> {
 ///    actually shuts down.
 /// 4. In `self_delete_on_init` spawn a dummy process so that windows deletes the
 ///    copy too.
-pub fn self_delete(protected_path: Option<&Path>) -> Result<(), io::Error> {
-    let exe = env::current_exe()?.canonicalize()?;
-    schedule_self_deletion_on_shutdown(&exe, protected_path)?;
+pub fn self_delete(exe: &Path, protected_path: Option<&Path>) -> Result<(), io::Error> {
+    schedule_self_deletion_on_shutdown(exe, protected_path)?;
     Ok(())
 }