diff --git a/Cargo.toml b/Cargo.toml
index f114fef9b..698d183ed 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -19,7 +19,7 @@ features = [ "rand", "serde" ]
 all-features = true
 
 [build-dependencies]
-cc = "=1.0.26"
+cc = ">= 1.0.28, <= 1.0.35"
 
 [lib]
 name = "secp256k1"