diff --git a/recipes/openexr/2.x/conanfile.py b/recipes/openexr/2.x/conanfile.py
index 871879a5c3f88..e6fecd0261780 100644
--- a/recipes/openexr/2.x/conanfile.py
+++ b/recipes/openexr/2.x/conanfile.py
@@ -39,7 +39,7 @@ def configure(self):
             del self.options.fPIC
 
     def requirements(self):
-        self.requires("zlib/1.2.12")
+        self.requires("zlib/1.2.13")
 
     def validate(self):
         if Version(self.version) < "2.5.0" and hasattr(self, "settings_build") and cross_building(self):
diff --git a/recipes/openexr/3.x/conanfile.py b/recipes/openexr/3.x/conanfile.py
index 7d9caddb48d9f..8f95edf1a7078 100644
--- a/recipes/openexr/3.x/conanfile.py
+++ b/recipes/openexr/3.x/conanfile.py
@@ -40,7 +40,7 @@ def configure(self):
             del self.options.fPIC
 
     def requirements(self):
-        self.requires("zlib/1.2.12")
+        self.requires("zlib/1.2.13")
 
         # Note: OpenEXR and Imath are versioned independently.
         self.requires("imath/3.1.5")