diff --git a/Project.toml b/Project.toml
index d4576f4d2..d5eaa05b1 100644
--- a/Project.toml
+++ b/Project.toml
@@ -28,7 +28,7 @@ DocStringExtensions = "0.8, 0.9"
 FastLapackInterface = "1"
 GPUArraysCore = "0.1"
 IterativeSolvers = "0.9.2"
-KLU = "0.3.0"
+KLU = "0.3.0, 0.4"
 Krylov = "0.7.11, 0.8"
 KrylovKit = "0.5"
 RecursiveFactorization = "0.2.8"