diff --git a/Project.toml b/Project.toml
index 4f1b6ac1..cb08e7a5 100644
--- a/Project.toml
+++ b/Project.toml
@@ -12,7 +12,7 @@ MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
 Libdl = "<0.0.1, 1.6"
 MathOptInterface = "1.26"
 Test = "<0.0.1, 1.6"
-Xpress_jll = "=8.13.4, =9.3.0"
+Xpress_jll = "=8.13.4, =9.3.0, =9.4.0, =9.4.1"
 julia = "1.6"
 
 [extras]