diff --git a/contrib/completion/_fd b/contrib/completion/_fd
index 28826a9..dc7e94d 100644
--- a/contrib/completion/_fd
+++ b/contrib/completion/_fd
@@ -162,7 +162,7 @@ _fd() {
     $no'(*)*--search-path=[set search path (instead of positional <path> arguments)]:directory:_files -/'
 
     + strip-cwd-prefix
-    $no'(strip-cwd-prefix exec-cmds)--strip-cwd-prefix[Strip ./ prefix when output is redirected]'
+    $no'(strip-cwd-prefix exec-cmds)--strip-cwd-prefix=[When to strip ./]:when:(always never auto)'
 
     + and
     '--and=[additional required search path]:pattern'
diff --git a/doc/fd.1 b/doc/fd.1
index b9956f0..e0105d9 100644
--- a/doc/fd.1
+++ b/doc/fd.1
@@ -159,9 +159,20 @@ can be used as an alias.
 Enable the display of filesystem errors for situations such as insufficient
 permissions or dead symlinks.
 .TP
-.B \-\-strip-cwd-prefix
-By default, relative paths are prefixed with './' when the output goes to a non interactive terminal
-(TTY). Use this flag to disable this behaviour.
+.B \-\-strip-cwd-prefix [when]
+By default, relative paths are prefixed with './' when -x/--exec,
+-X/--exec-batch, or -0/--print0 are given, to reduce the risk of a
+path starting with '-' being treated as a command line option. Use
+this flag to change this behavior. If htis flag is used without a value,
+it is equivalent to passing "always". Possible values are:
+.RS
+.IP auto
+Use the default behavior.
+.IP never
+Never strip the ./ at the beginning of paths
+.IP always
+Always strip the ./ at the beinning of paths
+.RE
 .TP
 .B \-\-one\-file\-system, \-\-mount, \-\-xdev
 By default, fd will traverse the file system tree as far as other options dictate. With this flag, fd ensures that it does not descend into a different file system than the one it started in. Comparable to the -mount or -xdev filters of find(1).
diff --git a/src/cli.rs b/src/cli.rs
index 3bd8d84..f75ebad 100644
--- a/src/cli.rs
+++ b/src/cli.rs
@@ -618,9 +618,10 @@ pub struct Opts {
     /// By default, relative paths are prefixed with './' when -x/--exec,
     /// -X/--exec-batch, or -0/--print0 are given, to reduce the risk of a
     /// path starting with '-' being treated as a command line option. Use
-    /// this flag to disable this behaviour.
-    #[arg(long, conflicts_with_all(&["path", "search_path"]), hide_short_help = true, long_help)]
-    pub strip_cwd_prefix: bool,
+    /// this flag to change this behavior. If this flag is used without a value,
+    /// it is equivalent to passing "always".
+    #[arg(long, conflicts_with_all(&["path", "search_path"]), value_name = "when", hide_short_help = true, require_equals = true, long_help)]
+    strip_cwd_prefix: Option<Option<StripCwdWhen>>,
 
     /// By default, fd will traverse the file system tree as far as other options
     /// dictate. With this flag, fd ensures that it does not descend into a
@@ -698,6 +699,16 @@ impl Opts {
             .or_else(|| self.max_one_result.then_some(1))
     }
 
+    pub fn strip_cwd_prefix<P: FnOnce() -> bool>(&self, auto_pred: P) -> bool {
+        use self::StripCwdWhen::*;
+        self.no_search_paths()
+            && match self.strip_cwd_prefix.map_or(Auto, |o| o.unwrap_or(Always)) {
+                Auto => auto_pred(),
+                Always => true,
+                Never => false,
+            }
+    }
+
     #[cfg(feature = "completions")]
     pub fn gen_completions(&self) -> anyhow::Result<Option<Shell>> {
         self.gen_completions
@@ -769,6 +780,16 @@ impl ColorWhen {
     }
 }
 
+#[derive(Copy, Clone, PartialEq, Eq, Debug, ValueEnum)]
+pub enum StripCwdWhen {
+    /// Use the default behavior
+    Auto,
+    /// Always strip the ./ at the beginning of paths
+    Always,
+    /// Never strip the ./
+    Never,
+}
+
 // there isn't a derive api for getting grouped values yet,
 // so we have to use hand-rolled parsing for exec and exec-batch
 pub struct Exec {
diff --git a/src/main.rs b/src/main.rs
index 5440601..41d8dbd 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -311,8 +311,7 @@ fn construct_config(mut opts: Opts, pattern_regexps: &[String]) -> Result<Config
         path_separator,
         actual_path_separator,
         max_results: opts.max_results(),
-        strip_cwd_prefix: (opts.no_search_paths()
-            && (opts.strip_cwd_prefix || !(opts.null_separator || has_command))),
+        strip_cwd_prefix: opts.strip_cwd_prefix(|| !(opts.null_separator || has_command)),
     })
 }