diff --git a/pkgs/development/python-modules/protobuf/4.nix b/pkgs/development/python-modules/protobuf/4.nix
index d58e21d195a1..2d1a3f9d861f 100644
--- a/pkgs/development/python-modules/protobuf/4.nix
+++ b/pkgs/development/python-modules/protobuf/4.nix
@@ -4,6 +4,7 @@
   fetchpatch,
   isPyPy,
   lib,
+  stdenv,
   numpy,
   protobuf,
   pytestCheckHook,
@@ -84,15 +85,21 @@ buildPythonPackage {
     pytestCheckHook
   ] ++ lib.optionals (lib.versionAtLeast protobuf.version "22") [ numpy ];
 
-  disabledTests = lib.optionals isPyPy [
-    # error message differs
-    "testInvalidTimestamp"
-    # requires tracemalloc which pypy does not implement
-    # https://foss.heptapod.net/pypy/pypy/-/issues/3048
-    "testUnknownFieldsNoMemoryLeak"
-    # assertion is not raised for some reason
-    "testStrictUtf8Check"
-  ];
+  disabledTests =
+    lib.optionals isPyPy [
+      # error message differs
+      "testInvalidTimestamp"
+      # requires tracemalloc which pypy does not implement
+      # https://foss.heptapod.net/pypy/pypy/-/issues/3048
+      "testUnknownFieldsNoMemoryLeak"
+      # assertion is not raised for some reason
+      "testStrictUtf8Check"
+    ]
+    ++ lib.optionals stdenv.hostPlatform.is32bit [
+      # OverflowError: timestamp out of range for platform time_t
+      "testTimezoneAwareDatetimeConversionWhereTimestampLosesPrecision"
+      "testTimezoneNaiveDatetimeConversionWhereTimestampLosesPrecision"
+    ];
 
   disabledTestPaths =
     lib.optionals (lib.versionAtLeast protobuf.version "23") [