diff --git a/test/util/velero/install.go b/test/util/velero/install.go
index da57ef19e..e2c57392e 100644
--- a/test/util/velero/install.go
+++ b/test/util/velero/install.go
@@ -365,7 +365,7 @@ func VersionNoOlderThan(version string, targetVersion string) (bool, error) {
 			matches := tagRe.FindStringSubmatch(targetVersion)
 			targetMajor := matches[1]
 			targetMinor := matches[2]
-			if major > targetMajor && minor >= targetMinor {
+			if major >= targetMajor && minor >= targetMinor {
 				return true, nil
 			} else {
 				return false, nil
diff --git a/test/util/velero/install_test.go b/test/util/velero/install_test.go
new file mode 100644
index 000000000..8ea51bd40
--- /dev/null
+++ b/test/util/velero/install_test.go
@@ -0,0 +1,65 @@
+/*
+Copyright the Velero contributors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+package velero
+
+import (
+	"testing"
+
+	"github.com/stretchr/testify/require"
+)
+
+func Test_VersionNoOlderThan(t *testing.T) {
+	type versionTest struct {
+		caseName      string
+		version       string
+		targetVersion string
+		result        bool
+		err           error
+	}
+	tests := []versionTest{
+		{
+			caseName:      "branch version compare",
+			version:       "release-1.18",
+			targetVersion: "v1.16",
+			result:        true,
+			err:           nil,
+		},
+		{
+			caseName:      "tag version compare",
+			version:       "v1.18.0",
+			targetVersion: "v1.16",
+			result:        true,
+			err:           nil,
+		},
+		{
+			caseName:      "main version compare",
+			version:       "main",
+			targetVersion: "v1.15",
+			result:        true,
+			err:           nil,
+		},
+	}
+
+	for _, test := range tests {
+		t.Run(test.caseName, func(t *testing.T) {
+			res, err := VersionNoOlderThan(test.version, test.targetVersion)
+
+			require.Equal(t, test.err, err)
+			require.Equal(t, test.result, res)
+		})
+	}
+}