diff --git a/util/errwrap/errwrap_test.go b/util/errwrap/errwrap_test.go
index 12418351..ae710116 100644
--- a/util/errwrap/errwrap_test.go
+++ b/util/errwrap/errwrap_test.go
@@ -20,6 +20,7 @@
 package errwrap
 
 import (
+	"errors"
 	"fmt"
 	"testing"
 )
@@ -30,6 +31,20 @@ func TestWrapfErr1(t *testing.T) {
 	}
 }
 
+func TestWrapfErr2(t *testing.T) {
+	reterr := fmt.Errorf("reterr")
+	if err := Wrapf(reterr, "whatever: %d", 42); err == nil {
+		t.Errorf("expected err")
+	}
+}
+
+func TestWrapfErr3(t *testing.T) {
+	reterr := fmt.Errorf("reterr")
+	if err := Wrapf(reterr, "whatever: %d", 42); !errors.Is(err, reterr) {
+		t.Errorf("expected matching err")
+	}
+}
+
 func TestAppendErr1(t *testing.T) {
 	if err := Append(nil, nil); err != nil {
 		t.Errorf("expected nil result")