diff --git a/tests/block_test.go b/tests/block_test.go
index 5764ae33e..e913ecbc9 100644
--- a/tests/block_test.go
+++ b/tests/block_test.go
@@ -17,6 +17,8 @@
 package tests
 
 import (
+	"math/rand"
+	"runtime"
 	"testing"
 
 	"github.com/ethereum/go-ethereum/common"
@@ -49,6 +51,9 @@ func TestBlockchain(t *testing.T) {
 	bt.skipLoad(`.*randomStatetest94.json.*`)
 
 	bt.walk(t, blockTestDir, func(t *testing.T, name string, test *BlockTest) {
+		if runtime.GOARCH == "386" && runtime.GOOS == "windows" && rand.Int63()%2 == 0 {
+			t.Skip("test (randomly) skipped on 32-bit windows")
+		}
 		execBlockTest(t, bt, test)
 	})
 	// There is also a LegacyTests folder, containing blockchain tests generated
diff --git a/tests/state_test.go b/tests/state_test.go
index 094dafcaf..ae78a53a7 100644
--- a/tests/state_test.go
+++ b/tests/state_test.go
@@ -21,9 +21,11 @@ import (
 	"bytes"
 	"fmt"
 	"math/big"
+	"math/rand"
 	"os"
 	"path/filepath"
 	"reflect"
+	"runtime"
 	"strings"
 	"testing"
 	"time"
@@ -76,6 +78,10 @@ func TestState(t *testing.T) {
 		benchmarksDir,
 	} {
 		st.walk(t, dir, func(t *testing.T, name string, test *StateTest) {
+			if runtime.GOARCH == "386" && runtime.GOOS == "windows" && rand.Int63()%2 == 0 {
+				t.Skip("test (randomly) skipped on 32-bit windows")
+				return
+			}
 			for _, subtest := range test.Subtests() {
 				subtest := subtest
 				key := fmt.Sprintf("%s/%d", subtest.Fork, subtest.Index)