diff --git a/go.mod b/go.mod
index 4c1e49e8..71bdf92e 100644
--- a/go.mod
+++ b/go.mod
@@ -4,9 +4,9 @@ go 1.22.0
 
 require (
 	github.com/go-ldap/ldap/v3 v3.4.8
-	github.com/notaryproject/notation-core-go v1.2.0-rc.1
+	github.com/notaryproject/notation-core-go v1.2.0-rc.1.0.20241112001243-33af15a18954
 	github.com/notaryproject/notation-plugin-framework-go v1.0.0
-	github.com/notaryproject/tspclient-go v0.2.0
+	github.com/notaryproject/tspclient-go v0.2.1-0.20241030015323-90a141e7525c
 	github.com/opencontainers/go-digest v1.0.0
 	github.com/opencontainers/image-spec v1.1.0
 	github.com/veraison/go-cose v1.3.0
diff --git a/go.sum b/go.sum
index 6f3a98cf..deea61a7 100644
--- a/go.sum
+++ b/go.sum
@@ -32,12 +32,12 @@ github.com/jcmturner/gokrb5/v8 v8.4.4 h1:x1Sv4HaTpepFkXbt2IkL29DXRf8sOfZXo8eRKh6
 github.com/jcmturner/gokrb5/v8 v8.4.4/go.mod h1:1btQEpgT6k+unzCwX1KdWMEwPPkkgBtP+F6aCACiMrs=
 github.com/jcmturner/rpc/v2 v2.0.3 h1:7FXXj8Ti1IaVFpSAziCZWNzbNuZmnvw/i6CqLNdWfZY=
 github.com/jcmturner/rpc/v2 v2.0.3/go.mod h1:VUJYCIDm3PVOEHw8sgt091/20OJjskO/YJki3ELg/Hc=
-github.com/notaryproject/notation-core-go v1.2.0-rc.1 h1:VMFlG+9a1JoNAQ3M96g8iqCq0cDRtE7XBaiTD8Ouvqw=
-github.com/notaryproject/notation-core-go v1.2.0-rc.1/go.mod h1:b/70rA4OgOHlg0A7pb8zTWKJadFO6781zS3a37KHEJQ=
+github.com/notaryproject/notation-core-go v1.2.0-rc.1.0.20241112001243-33af15a18954 h1:UbjH/ePjxU8jcYMca9NVYqU8Qcr7pP1SKDWCxl++ToA=
+github.com/notaryproject/notation-core-go v1.2.0-rc.1.0.20241112001243-33af15a18954/go.mod h1:phjvE2bqHsLfJMqMUYqRCqNIH3TQ4GCcFQuEVyQTpDg=
 github.com/notaryproject/notation-plugin-framework-go v1.0.0 h1:6Qzr7DGXoCgXEQN+1gTZWuJAZvxh3p8Lryjn5FaLzi4=
 github.com/notaryproject/notation-plugin-framework-go v1.0.0/go.mod h1:RqWSrTOtEASCrGOEffq0n8pSg2KOgKYiWqFWczRSics=
-github.com/notaryproject/tspclient-go v0.2.0 h1:g/KpQGmyk/h7j60irIRG1mfWnibNOzJ8WhLqAzuiQAQ=
-github.com/notaryproject/tspclient-go v0.2.0/go.mod h1:LGyA/6Kwd2FlM0uk8Vc5il3j0CddbWSHBj/4kxQDbjs=
+github.com/notaryproject/tspclient-go v0.2.1-0.20241030015323-90a141e7525c h1:bX6gGxFw9+DShmYTgbD+vr6neF1SoXIMUU2fDgdLsfA=
+github.com/notaryproject/tspclient-go v0.2.1-0.20241030015323-90a141e7525c/go.mod h1:LGyA/6Kwd2FlM0uk8Vc5il3j0CddbWSHBj/4kxQDbjs=
 github.com/opencontainers/go-digest v1.0.0 h1:apOUWs51W5PlhuyGyz9FCeeBIOUDA/6nW8Oi/yOhh5U=
 github.com/opencontainers/go-digest v1.0.0/go.mod h1:0JzlMkj0TRzQZfJkVvzbP0HBR3IKzErnv2BNG4W4MAM=
 github.com/opencontainers/image-spec v1.1.0 h1:8SG7/vwALn54lVB/0yZ/MMwhFrPYtpEHQb2IpWsCzug=
diff --git a/verifier/timestamp_test.go b/verifier/timestamp_test.go
index f7eb90ec..22c75660 100644
--- a/verifier/timestamp_test.go
+++ b/verifier/timestamp_test.go
@@ -216,7 +216,7 @@ func TestAuthenticTimestamp(t *testing.T) {
 			VerificationLevel: trustpolicy.LevelStrict,
 		}
 		authenticTimestampResult := verifyAuthenticTimestamp(context.Background(), dummyTrustPolicy.Name, dummyTrustPolicy.TrustStores, dummyTrustPolicy.SignatureVerification, trustStore, revocationTimestampingValidator, outcome)
-		expectedErrMsg := "failed to parse timestamp countersignature with error: unexpected content type: 1.2.840.113549.1.7.1"
+		expectedErrMsg := "failed to parse timestamp countersignature with error: unexpected content type: 1.2.840.113549.1.7.1. Expected to be id-ct-TSTInfo (1.2.840.113549.1.9.16.1.4)"
 		if err := authenticTimestampResult.Error; err == nil || err.Error() != expectedErrMsg {
 			t.Fatalf("expected %s, but got %s", expectedErrMsg, err)
 		}
@@ -287,6 +287,29 @@ func TestAuthenticTimestamp(t *testing.T) {
 		}
 	})
 
+	t.Run("verify Authentic Timestamp failed due to signing time after timestamp value", func(t *testing.T) {
+		signedToken, err := os.ReadFile("testdata/timestamp/countersignature/TimeStampToken.p7s")
+		if err != nil {
+			t.Fatalf("failed to get signedToken: %v", err)
+		}
+		envContent, err := parseEnvContent("testdata/timestamp/sigEnv/withoutTimestamp.sig", jws.MediaTypeEnvelope)
+		if err != nil {
+			t.Fatalf("failed to get signature envelope content: %v", err)
+		}
+		envContent.SignerInfo.UnsignedAttributes.TimestampSignature = signedToken
+		envContent.SignerInfo.Signature = []byte("notation")
+		envContent.SignerInfo.SignedAttributes.SigningTime = time.Date(3000, time.November, 10, 23, 0, 0, 0, time.UTC)
+		outcome := &notation.VerificationOutcome{
+			EnvelopeContent:   envContent,
+			VerificationLevel: trustpolicy.LevelStrict,
+		}
+		authenticTimestampResult := verifyAuthenticTimestamp(context.Background(), dummyTrustPolicy.Name, dummyTrustPolicy.TrustStores, dummyTrustPolicy.SignatureVerification, trustStore, revocationTimestampingValidator, outcome)
+		expectedErrMsg := "timestamp [2021-09-17T14:09:09Z, 2021-09-17T14:09:11Z] is not bounded after the signing time \"3000-11-10 23:00:00 +0000 UTC\""
+		if err := authenticTimestampResult.Error; err == nil || err.Error() != expectedErrMsg {
+			t.Fatalf("expected %s, but got %s", expectedErrMsg, err)
+		}
+	})
+
 	t.Run("verify Authentic Timestamp failed due to trust store does not exist", func(t *testing.T) {
 		dummyTrustPolicy := &trustpolicy.TrustPolicy{
 			Name:           "test-timestamp",
diff --git a/verifier/verifier.go b/verifier/verifier.go
index 6811b489..b16ead32 100644
--- a/verifier/verifier.go
+++ b/verifier/verifier.go
@@ -1058,6 +1058,9 @@ func verifyTimestamp(ctx context.Context, policyName string, trustStores []strin
 	if err != nil {
 		return fmt.Errorf("failed to verify the timestamp countersignature with error: %w", err)
 	}
+	if !timestamp.BoundedAfter(signerInfo.SignedAttributes.SigningTime) {
+		return fmt.Errorf("timestamp %s is not bounded after the signing time %q", timestamp.Format(time.RFC3339), signerInfo.SignedAttributes.SigningTime)
+	}
 
 	// 3. Validate timestamping certificate chain
 	logger.Debug("Validating timestamping certificate chain...")