diff --git a/CMakeLists.txt b/CMakeLists.txt
index f603a0eda..351b9e088 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -53,7 +53,11 @@ if(BUILD_TESTS)
 endif()
 
 # Eigen
-find_package(Eigen3 3.4 REQUIRED)
+find_package(Eigen3 3.4) # Try to find Eigen 3.4
+if(NOT TARGET Eigen3::Eigen)
+    # If Eigen 3.4 was not found, require any Eigen version after 3.4.1 and before 6
+    find_package(Eigen3 3.4...5 REQUIRED NO_MODULE)
+endif()
 target_link_libraries(nextsimlib PUBLIC Eigen3::Eigen)
 
 if(DEFINED PYTHON_EXECUTABLE)