diff --git a/pkgs/by-name/ei/eigen/include-dir.patch b/pkgs/by-name/ei/eigen/include-dir.patch
deleted file mode 100644
index 9928bbdbed1b..000000000000
--- a/pkgs/by-name/ei/eigen/include-dir.patch
+++ /dev/null
@@ -1,57 +0,0 @@
---- a/CMakeLists.txt
-+++ b/CMakeLists.txt
-@@ -1,5 +1,5 @@
- # cmake_minimum_require must be the first command of the file
--cmake_minimum_required(VERSION 3.5.0)
-+cmake_minimum_required(VERSION 3.7.0)
- 
- project(Eigen3)
- 
-@@ -443,7 +443,7 @@ set(PKGCONFIG_INSTALL_DIR
-     CACHE PATH "The directory relative to CMAKE_INSTALL_PREFIX where eigen3.pc is installed"
-     )
- 
--foreach(var INCLUDE_INSTALL_DIR CMAKEPACKAGE_INSTALL_DIR PKGCONFIG_INSTALL_DIR)
-+foreach(var CMAKEPACKAGE_INSTALL_DIR PKGCONFIG_INSTALL_DIR)
-   # If an absolute path is specified, make it relative to "{CMAKE_INSTALL_PREFIX}".
-   if(IS_ABSOLUTE "${${var}}")
-     file(RELATIVE_PATH "${var}" "${CMAKE_INSTALL_PREFIX}" "${${var}}")
-@@ -466,13 +466,6 @@ install(FILES
-   DESTINATION ${INCLUDE_INSTALL_DIR} COMPONENT Devel
-   )
- 
--if(EIGEN_BUILD_PKGCONFIG)
--    configure_file(eigen3.pc.in eigen3.pc @ONLY)
--    install(FILES ${CMAKE_CURRENT_BINARY_DIR}/eigen3.pc
--        DESTINATION ${PKGCONFIG_INSTALL_DIR}
--        )
--endif()
--
- install(DIRECTORY Eigen DESTINATION ${INCLUDE_INSTALL_DIR} COMPONENT Devel)
- 
- 
-@@ -593,8 +586,15 @@ set ( EIGEN_VERSION_MAJOR  ${EIGEN_WORLD_VERSION} )
- set ( EIGEN_VERSION_MINOR  ${EIGEN_MAJOR_VERSION} )
- set ( EIGEN_VERSION_PATCH  ${EIGEN_MINOR_VERSION} )
- set ( EIGEN_DEFINITIONS "")
--set ( EIGEN_INCLUDE_DIR "${CMAKE_INSTALL_PREFIX}/${INCLUDE_INSTALL_DIR}" )
- set ( EIGEN_ROOT_DIR ${CMAKE_INSTALL_PREFIX} )
-+GNUInstallDirs_get_absolute_install_dir(EIGEN_INCLUDE_DIR INCLUDE_INSTALL_DIR)
-+
-+if(EIGEN_BUILD_PKGCONFIG)
-+    configure_file(eigen3.pc.in eigen3.pc @ONLY)
-+    install(FILES ${CMAKE_CURRENT_BINARY_DIR}/eigen3.pc
-+        DESTINATION ${PKGCONFIG_INSTALL_DIR}
-+        )
-+endif()
- 
- include (CMakePackageConfigHelpers)
- 
---- a/eigen3.pc.in
-+++ b/eigen3.pc.in
-@@ -6,4 +6,4 @@ Description: A C++ template library for linear algebra: vectors, matrices, and r
- Requires:
- Version: @EIGEN_VERSION_NUMBER@
- Libs:
--Cflags: -I${prefix}/@INCLUDE_INSTALL_DIR@
-+Cflags: -I@EIGEN_INCLUDE_DIR@
diff --git a/pkgs/by-name/ei/eigen/package.nix b/pkgs/by-name/ei/eigen/package.nix
index 898f83d2d136..430b27f5be96 100644
--- a/pkgs/by-name/ei/eigen/package.nix
+++ b/pkgs/by-name/ei/eigen/package.nix
@@ -1,43 +1,60 @@
 {
   lib,
+
   stdenv,
   fetchFromGitLab,
+  fetchpatch,
+
+  # nativeBuildInputs
   cmake,
+
+  # nativeCheckInputs
+  ctestCheckHook,
 }:
 
-stdenv.mkDerivation {
+stdenv.mkDerivation (finalAttrs: {
   pname = "eigen";
-  version = "3.4.0-unstable-2022-05-19";
+  version = "3.4.1";
 
   src = fetchFromGitLab {
     owner = "libeigen";
     repo = "eigen";
-    rev = "e7248b26a1ed53fa030c5c459f7ea095dfd276ac";
-    hash = "sha256-uQ1YYV3ojbMVfHdqjXRyUymRPjJZV3WHT36PTxPRius=";
+    tag = finalAttrs.version;
+    hash = "sha256-NSq1tUfy2thz5gtsyASsKeYE4vMf71aSG4uXfrX86rk=";
   };
 
   patches = [
-    ./include-dir.patch
+    # fix bug1213 test
+    # ref https://gitlab.com/libeigen/eigen/-/merge_requests/2005 merged upstream
+    (fetchpatch {
+      url = "https://gitlab.com/libeigen/eigen/-/commit/3e1367a3b5efcdc8ce716db77a322cedeb5e01b4.patch";
+      hash = "sha256-oykUbzaZeVW1A8nBoiMtJvh68Zpu7PDFtAfAjtTQoC0=";
+    })
   ];
 
-  # ref. https://gitlab.com/libeigen/eigen/-/merge_requests/977
-  # This was merged upstream and can be removed on next release
-  postPatch = ''
-    substituteInPlace Eigen/src/SVD/BDCSVD.h --replace-fail \
-      "if (l == 0) {" \
-      "if (i >= k && l == 0) {"
-  '';
+  nativeBuildInputs = [
+    cmake
+  ];
 
-  nativeBuildInputs = [ cmake ];
+  nativeCheckInputs = [
+    ctestCheckHook
+  ];
 
-  meta = with lib; {
+  cmakeFlags = [
+    (lib.cmakeBool "EIGEN_LEAVE_TEST_IN_ALL_TARGET" true) # Build tests in parallel
+  ];
+
+  # too many flaky tests
+  doCheck = false;
+
+  meta = {
     homepage = "https://eigen.tuxfamily.org";
     description = "C++ template library for linear algebra: vectors, matrices, and related algorithms";
-    license = licenses.lgpl3Plus;
-    maintainers = with maintainers; [
+    license = lib.licenses.lgpl3Plus;
+    maintainers = with lib.maintainers; [
       sander
       raskin
     ];
-    platforms = platforms.unix;
+    platforms = lib.platforms.unix;
   };
-}
+})