diff --git a/cmake/conan.cmake b/cmake/conan.cmake
index ba28e7fe93..55b15ad35e 100644
--- a/cmake/conan.cmake
+++ b/cmake/conan.cmake
@@ -44,6 +44,13 @@ include("${CMAKE_SOURCE_DIR}/third_party/cmake-conan/conan.cmake")
 # provide a static conanfile.txt instead of generating it with conan_cmake_configure()
 file(COPY "${CMAKE_SOURCE_DIR}/conanfile.txt" DESTINATION "${CONAN_BINARY_DIR}")
 
+# use mpir instead of gmp on Windows
+if(CMAKE_HOST_SYSTEM_NAME STREQUAL "Windows")
+  file(READ "${CONAN_BINARY_DIR}/conanfile.txt" conanfile_contents)
+  string(REPLACE "gmp/6.2.1" "mpir/3.0.0" conanfile_contents "${conanfile_contents}")
+  file(WRITE "${CONAN_BINARY_DIR}/conanfile.txt" "${conanfile_contents}")
+endif()
+
 if(NOT DEFINED CONAN_PROFILE)
   guess_conan_profile()
 endif()