diff --git a/attest/tpm.go b/attest/tpm.go
index 5a251d8..b1a3625 100644
--- a/attest/tpm.go
+++ b/attest/tpm.go
@@ -40,6 +40,7 @@ const (
 	nvramRSACertIndex    = 0x1c00002
 	nvramRSAEkNonceIndex = 0x1c00003
 	nvramECCCertIndex    = 0x1c0000a
+	nvramECCEkNonceIndex = 0x1c0000b
 
 	// Defined in "Registry of reserved TPM 2.0 handles and localities", and checked on a glinux machine.
 	commonSrkEquivalentHandle   = 0x81000001
@@ -74,7 +75,7 @@ var (
 			KeyBits:    2048,
 		},
 	}
-	// Default RSA EK template defined in:
+	// Default RSA and ECC EK templates defined in:
 	// https://trustedcomputinggroup.org/wp-content/uploads/Credential_Profile_EK_V2.0_R14_published.pdf
 	defaultRSAEKTemplate = tpm2.Public{
 		Type:    tpm2.AlgRSA,
@@ -99,6 +100,32 @@ var (
 			ModulusRaw: make([]byte, 256),
 		},
 	}
+	defaultECCEKTemplate = tpm2.Public{
+		Type:    tpm2.AlgECC,
+		NameAlg: tpm2.AlgSHA256,
+		Attributes: tpm2.FlagFixedTPM | tpm2.FlagFixedParent | tpm2.FlagSensitiveDataOrigin |
+			tpm2.FlagAdminWithPolicy | tpm2.FlagRestricted | tpm2.FlagDecrypt,
+		AuthPolicy: []byte{
+			0x83, 0x71, 0x97, 0x67, 0x44, 0x84,
+			0xB3, 0xF8, 0x1A, 0x90, 0xCC, 0x8D,
+			0x46, 0xA5, 0xD7, 0x24, 0xFD, 0x52,
+			0xD7, 0x6E, 0x06, 0x52, 0x0B, 0x64,
+			0xF2, 0xA1, 0xDA, 0x1B, 0x33, 0x14,
+			0x69, 0xAA,
+		},
+		ECCParameters: &tpm2.ECCParams{
+			Symmetric: &tpm2.SymScheme{
+				Alg:     tpm2.AlgAES,
+				KeyBits: 128,
+				Mode:    tpm2.AlgCFB,
+			},
+			CurveID: tpm2.CurveNISTP256,
+			Point: tpm2.ECPoint{
+				XRaw: make([]byte, 32),
+				YRaw: make([]byte, 32),
+			},
+		},
+	}
 	// Basic template for an ECDSA key signing outside-TPM objects. Other
 	// fields are populated depending on the key creation options.
 	ecdsaKeyTemplate = tpm2.Public{
diff --git a/attest/wrapped_tpm20.go b/attest/wrapped_tpm20.go
index 65a18e4..20166ca 100644
--- a/attest/wrapped_tpm20.go
+++ b/attest/wrapped_tpm20.go
@@ -35,6 +35,7 @@ type wrappedTPM20 struct {
 	interf           TPMInterface
 	rwc              CommandChannelTPM20
 	tpmRSAEkTemplate *tpm2.Public
+	tpmECCEkTemplate *tpm2.Public
 }
 
 func (t *wrappedTPM20) rsaEkTemplate() tpm2.Public {
@@ -54,6 +55,23 @@ func (t *wrappedTPM20) rsaEkTemplate() tpm2.Public {
 	return *t.tpmRSAEkTemplate
 }
 
+func (t *wrappedTPM20) eccEkTemplate() tpm2.Public {
+	if t.tpmECCEkTemplate != nil {
+		return *t.tpmECCEkTemplate
+	}
+
+	nonce, err := tpm2.NVReadEx(t.rwc, nvramECCEkNonceIndex, tpm2.HandleOwner, "", 0)
+	if err != nil {
+		t.tpmECCEkTemplate = &defaultECCEKTemplate // No nonce, use the default template
+	} else {
+		template := defaultECCEKTemplate
+		copy(template.ECCParameters.Point.XRaw, nonce)
+		t.tpmECCEkTemplate = &template
+	}
+
+	return *t.tpmECCEkTemplate
+}
+
 func (t *wrappedTPM20) tpmVersion() TPMVersion {
 	return TPMVersion20
 }
@@ -102,7 +120,7 @@ func (t *wrappedTPM20) getEndorsementKeyHandle(ek *EK) (tpmutil.Handle, bool, er
 		case *rsa.PublicKey:
 			ekTemplate = t.rsaEkTemplate()
 		case *ecdsa.PublicKey:
-			return 0, false, errors.New("ECC EKs are not supported")
+			ekTemplate = t.eccEkTemplate()
 		default:
 			return 0, false, fmt.Errorf("unsupported public key type %T", pub)
 		}