diff --git a/Cargo.toml b/Cargo.toml
index 3243a6e..22a709e 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -20,6 +20,6 @@ web_sys = ["web-sys", "paste"]
 std_web = ["stdweb"]
 
 [dependencies]
-web-sys = { version = "*", optional = true, features = ["console"] }
-stdweb = { version = "*", optional = true }
+web-sys = { version = ">= 0.3", optional = true, features = ["console"] }
+stdweb = { version = ">= 0.4", optional = true }
 paste = { version = "1.0", optional = true }