diff --git a/Cargo.toml b/Cargo.toml
index dc50f8c..87031d6 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -30,8 +30,10 @@ schannel = "0.1.17"
 [target.'cfg(not(any(target_os = "windows", target_vendor = "apple")))'.dependencies]
 log = "0.4.5"
 openssl = "0.10.46"
-openssl-sys = "0.9.81"
+openssl-sys = "0.9.85"
 openssl-probe = "0.1"
+# Require a minimal version of `openssl-macros` as `openssl` doesn't set the minimal version correctly
+openssl-macros = "0.1.1"
 
 [dev-dependencies]
 tempfile = "3.0"