diff --git a/Help/command/find_package.rst b/Help/command/find_package.rst
index ee52c4189c..d6c51059c8 100644
--- a/Help/command/find_package.rst
+++ b/Help/command/find_package.rst
@@ -291,6 +291,7 @@ Each entry is meant for installation trees following Windows (``W``), UNIX
   <prefix>/(cmake|CMake)/                                         (W)
   <prefix>/<name>*/                                               (W)
   <prefix>/<name>*/(cmake|CMake)/                                 (W)
+  <prefix>/<name>*/(cmake|CMake)/<name>*/                         (W)
   <prefix>/(lib/<arch>|lib*|share)/cmake/<name>*/                 (U)
   <prefix>/(lib/<arch>|lib*|share)/<name>*/                       (U)
   <prefix>/(lib/<arch>|lib*|share)/<name>*/(cmake|CMake)/         (U)
diff --git a/Help/release/dev/find_package-one-more-path.rst b/Help/release/dev/find_package-one-more-path.rst
new file mode 100644
index 0000000000..554b67d4d4
--- /dev/null
+++ b/Help/release/dev/find_package-one-more-path.rst
@@ -0,0 +1,6 @@
+find_package-one-more-path
+--------------------------
+
+* The :command:`find_package` command now considers paths of
+  the form ``<prefix>/<name>*/(cmake|CMake)/<name>*/`` when
+  searching for package configuration files.
diff --git a/Source/cmFindPackageCommand.cxx b/Source/cmFindPackageCommand.cxx
index f260ec7431..3f8378b027 100644
--- a/Source/cmFindPackageCommand.cxx
+++ b/Source/cmFindPackageCommand.cxx
@@ -291,6 +291,7 @@ public:
   {
   }
 
+protected:
   void OnMatchesLoaded() override
   {
     // check if there is a specific sorting order to perform
@@ -316,6 +317,7 @@ public:
   {
   }
 
+protected:
   std::string TransformNameBeforeCmp(std::string name) override
   {
     return cmStrCat(name, this->Extension);
@@ -2524,6 +2526,16 @@ bool cmFindPackageCommand::SearchPrefix(std::string const& prefix_in)
     return true;
   }
 
+  auto secondPkgDirGen =
+    cmProjectDirectoryListGenerator{ this->Names, this->SortOrder,
+                                     this->SortDirection };
+
+  // PREFIX/(Foo|foo|FOO).*/(cmake|CMake)/(Foo|foo|FOO).*/
+  if (TryGeneratedPaths(searchFn, prefix, firstPkgDirGen, iCMakeGen,
+                        secondPkgDirGen)) {
+    return true;
+  }
+
   // Construct list of common install locations (lib and share).
   std::vector<cm::string_view> common;
   std::string libArch;
@@ -2561,10 +2573,6 @@ bool cmFindPackageCommand::SearchPrefix(std::string const& prefix_in)
     return true;
   }
 
-  auto secondPkgDirGen =
-    cmProjectDirectoryListGenerator{ this->Names, this->SortOrder,
-                                     this->SortDirection };
-
   // PREFIX/(Foo|foo|FOO).*/(lib/ARCH|lib*|share)/cmake/(Foo|foo|FOO).*/
   if (TryGeneratedPaths(searchFn, prefix, firstPkgDirGen, cmnGen, cmakeGen,
                         secondPkgDirGen)) {
diff --git a/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1.2.3/cmake/SearchPaths-1.2.3/SearchPathsConfig.cmake b/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1.2.3/cmake/SearchPaths-1.2.3/SearchPathsConfig.cmake
new file mode 100644
index 0000000000..e69de29bb2
diff --git a/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg-stderr.txt b/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg-stderr.txt
new file mode 100644
index 0000000000..812c607288
--- /dev/null
+++ b/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg-stderr.txt
@@ -0,0 +1,14 @@
+  find_package considered the following locations for SearchPaths's Config
+  module:
+
+    .*/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg-build/CMakeFiles/pkgRedirects/SearchPathsConfig\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg-build/CMakeFiles/pkgRedirects/searchpaths-config\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPathsConfig\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/searchpaths-config\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1\.2\.3/SearchPathsConfig\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1\.2\.3/searchpaths-config\.cmake
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1\.2\.3/cmake/SearchPaths-1\.2\.3/SearchPathsConfig\.cmake
+
+  The file was found at
+
+    .*/Tests/RunCMake/find_package/SearchPaths/prefix_pkg_cmake_pkg/SearchPaths-1\.2\.3/cmake/SearchPaths-1\.2\.3/SearchPathsConfig\.cmake
diff --git a/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg.cmake b/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg.cmake
new file mode 100644
index 0000000000..d831313952
--- /dev/null
+++ b/Tests/RunCMake/find_package/SearchPaths_prefix_pkg_cmake_pkg.cmake
@@ -0,0 +1 @@
+include("${CMAKE_CURRENT_SOURCE_DIR}/SearchPaths.cmake")