diff --git a/src/lib.rs b/src/lib.rs
index 3ef5091..d683595 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -905,6 +905,10 @@ fn fill_todo(
     };
 
     let pattern = &patterns[idx];
+    // Whether this component's pattern starts with a literal `.`, in which case
+    // it is allowed to match entries whose name starts with a `.` even when
+    // `require_literal_leading_dot` is set.
+    let has_literal_leading_dot = matches!(pattern.tokens.first(), Some(Char('.')));
     let is_dir = path.is_directory;
     let curdir = path.as_ref() == Path::new(".");
     match (pattern.has_metachars, is_dir) {
@@ -960,7 +964,15 @@ fn fill_todo(
             });
             match dirs {
                 Ok(mut children) => {
-                    if options.require_literal_leading_dot {
+                    // Entries whose name starts with a `.` are skipped here so
+                    // that a recursive `**` component, which matches directory
+                    // entries without ever consulting the pattern, does not
+                    // descend into them. Patterns that do start with a literal
+                    // `.` must not be filtered: `Pattern::matches_with` already
+                    // implements `require_literal_leading_dot` faithfully for
+                    // them, and dropping the entries here would make e.g.
+                    // `.git*` match nothing at all.
+                    if options.require_literal_leading_dot && !has_literal_leading_dot {
                         children.retain(|x| !x.1.to_str().unwrap().starts_with('.'));
                     }
                     children.sort_by(|p1, p2| p2.1.cmp(&p1.1));
@@ -971,7 +983,7 @@ fn fill_todo(
                     // requires that the pattern has a leading dot, even if the
                     // `MatchOptions` field `require_literal_leading_dot` is not
                     // set.
-                    if !pattern.tokens.is_empty() && pattern.tokens[0] == Char('.') {
+                    if has_literal_leading_dot {
                         for &special in &[".", ".."] {
                             if pattern.matches_with(special, options) {
                                 add(todo, PathWrapper::from_path(path.join(special)));
diff --git a/tests/glob-std.rs b/tests/glob-std.rs
index f8c5379..510cf18 100644
--- a/tests/glob-std.rs
+++ b/tests/glob-std.rs
@@ -384,6 +384,31 @@ fn main() {
         vec!(PathBuf::from("i/qwe"), PathBuf::from("i/qwe/eee"))
     );
 
+    // `require_literal_leading_dot` only requires that the leading `.` appears
+    // literally in the pattern -- it must not stop such a pattern from matching.
+    // This mirrors what `Pattern::matches_with` does for the same options.
+    mk_file("j", true);
+    mk_file("j/.aaa", false);
+    mk_file("j/.abb", false);
+    mk_file("j/bbb", false);
+
+    assert_eq!(
+        glob_with_vec("j/.a*", options),
+        vec!(PathBuf::from("j/.aaa"), PathBuf::from("j/.abb"))
+    );
+    assert_eq!(
+        glob_with_vec("j/.?aa", options),
+        vec!(PathBuf::from("j/.aaa"))
+    );
+    assert_eq!(
+        glob_with_vec("j/.[ab]bb", options),
+        vec!(PathBuf::from("j/.abb"))
+    );
+    // ... while patterns that do not start with a literal `.` keep skipping
+    // those entries.
+    assert_eq!(glob_with_vec("j/*", options), vec!(PathBuf::from("j/bbb")));
+    assert_eq!(glob_with_vec("j/?aa", options), Vec::<PathBuf>::new());
+
     if env::consts::FAMILY != "windows" {
         assert_eq!(
             glob_vec("bbb/specials/[*]"),