diff --git a/CHANGELOG.md b/CHANGELOG.md
index f7624e1e6..b4a66b16e 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -16,6 +16,9 @@ The release run heads these entries with the version and opens a fresh
 
 ## Unreleased
 
+- Copied filesystem walkers keep independent traversal positions on disk,
+  matching walkers over archives and memory filesystems.
+
 - Stream copies report failed reads and writes, and file writes check their
   final flush. Saving a text file over its source reads the text before truncation.
 
diff --git a/src/odr/internal/common/filesystem.cpp b/src/odr/internal/common/filesystem.cpp
index 350d0839f..f4beb11f1 100644
--- a/src/odr/internal/common/filesystem.cpp
+++ b/src/odr/internal/common/filesystem.cpp
@@ -12,6 +12,7 @@
 #include <fstream>
 #include <map>
 #include <ranges>
+#include <stdexcept>
 #include <system_error>
 
 namespace odr::internal {
@@ -20,18 +21,34 @@ namespace {
 class SystemFileWalker final : public abstract::FileWalker {
 public:
   SystemFileWalker(AbsPath root, const Path &path)
-      : m_root{std::move(root)},
-        m_iterator{std::filesystem::recursive_directory_iterator(path.path())} {
+      : m_root{std::move(root)}, m_start{path.path()}, m_iterator{m_start} {}
+
+  SystemFileWalker(const SystemFileWalker &other)
+      : m_root{other.m_root}, m_start{other.m_start} {
+    if (other.end()) {
+      return;
+    }
+    // Directory iterators are single-pass; copying one shares its traversal.
+    m_iterator = std::filesystem::recursive_directory_iterator(m_start);
+    while (!end() && m_iterator->path() != other.m_iterator->path()) {
+      ++m_iterator;
+    }
+    if (end()) {
+      throw std::runtime_error("walked directory changed while copying");
+    }
   }
 
   [[nodiscard]] std::unique_ptr<FileWalker> clone() const override {
     return std::make_unique<SystemFileWalker>(*this);
   }
 
-  /// TODO always false: two walkers at the same place do not compare equal.
-  /// Nothing calls this yet, so nothing depends on the answer.
-  [[nodiscard]] bool equals(const FileWalker & /*rhs*/) const override {
-    return false;
+  [[nodiscard]] bool equals(const FileWalker &other) const override {
+    const auto *rhs = dynamic_cast<const SystemFileWalker *>(&other);
+    if (rhs == nullptr || m_root != rhs->m_root || m_start != rhs->m_start) {
+      return false;
+    }
+    return end() || rhs->end() ? end() && rhs->end()
+                               : m_iterator->path() == rhs->m_iterator->path();
   }
 
   [[nodiscard]] bool end() const override {
@@ -65,6 +82,7 @@ class SystemFileWalker final : public abstract::FileWalker {
 
 private:
   AbsPath m_root;
+  std::filesystem::path m_start;
   std::filesystem::recursive_directory_iterator m_iterator;
 };
 } // namespace
diff --git a/test/src/internal/common/filesystem_test.cpp b/test/src/internal/common/filesystem_test.cpp
index 9e910f996..bd9259d95 100644
--- a/test/src/internal/common/filesystem_test.cpp
+++ b/test/src/internal/common/filesystem_test.cpp
@@ -3,11 +3,16 @@
 #include <odr/internal/abstract/filesystem.hpp>
 #include <odr/internal/common/file.hpp>
 #include <odr/internal/common/path.hpp>
+#include <odr/internal/common/random.hpp>
+#include <odr/internal/util/file_util.hpp>
 
 #include <gtest/gtest.h>
 
+#include <array>
+#include <filesystem>
 #include <memory>
 #include <string>
+#include <system_error>
 #include <vector>
 
 using namespace odr::internal;
@@ -40,6 +45,42 @@ filesystem_of(const std::vector<std::string> &files,
 
 } // namespace
 
+TEST(Filesystem, copied_walkers_advance_independently) {
+  struct Directory final {
+    std::filesystem::path path = std::filesystem::temp_directory_path() /
+                                 ("odr-walker-" + random_string(12));
+    ~Directory() {
+      std::error_code error;
+      std::filesystem::remove_all(path, error);
+    }
+  } directory;
+  std::filesystem::create_directories(directory.path / "nested");
+  util::file::write("one", (directory.path / "nested/one").string());
+  util::file::write("two", (directory.path / "nested/two").string());
+  util::file::write("three", (directory.path / "three").string());
+  const SystemFilesystem disk{AbsPath(directory.path)};
+  const VirtualFilesystem memory =
+      filesystem_of({"/nested/one", "/nested/two", "/three"}, {"/nested"});
+
+  for (const abstract::ReadableFilesystem *filesystem :
+       std::array<const abstract::ReadableFilesystem *, 2>{&disk, &memory}) {
+    const auto walker = filesystem->file_walker(AbsPath("/"));
+    while (!walker->end()) {
+      const auto copy = walker->clone();
+      const AbsPath path = walker->path();
+      const auto depth = walker->depth();
+      EXPECT_TRUE(copy->equals(*walker));
+      walker->next();
+      ASSERT_FALSE(copy->end());
+      EXPECT_EQ(copy->path(), path);
+      EXPECT_EQ(copy->depth(), depth);
+      copy->next();
+      EXPECT_TRUE(copy->equals(*walker));
+    }
+    EXPECT_TRUE(walker->clone()->end());
+  }
+}
+
 TEST(VirtualFilesystem, walker_reports_the_depth_of_every_entry) {
   const VirtualFilesystem filesystem =
       filesystem_of({"/mimetype", "/a/b.txt", "/a/c/d.txt"});