diff --git a/mtglib/internal/tls/fake/client_side.go b/mtglib/internal/tls/fake/client_side.go
index 66542bc..a5c46fc 100644
--- a/mtglib/internal/tls/fake/client_side.go
+++ b/mtglib/internal/tls/fake/client_side.go
@@ -130,18 +130,25 @@ func parseHandshake(r io.Reader) (*ClientHello, error) {
 
 	cipherSuiteLen := int64(binary.BigEndian.Uint16(header[:]))
 
-	// we do not care about picking up any cipher. we pick the first one,
-	// so it is always should be present.
-	if _, err := io.ReadFull(r, header[:]); err != nil {
-		return nil, fmt.Errorf("cannot read first cipher suite: %w", err)
+	// Pick the first non-GREASE cipher suite from the list.
+	// Real TLS servers never select GREASE values (RFC 8701, pattern 0x?a?a),
+	// so echoing them back is a trivial DPI fingerprint.
+	for remaining := cipherSuiteLen; remaining >= 2; remaining -= 2 {
+		if _, err := io.ReadFull(r, header[:]); err != nil {
+			return nil, fmt.Errorf("cannot read cipher suite: %w", err)
+		}
+
+		cs := binary.BigEndian.Uint16(header[:])
+		if hello.CipherSuite == 0 && cs&0x0f0f != 0x0a0a {
+			hello.CipherSuite = cs
+		}
 	}
 
-	hello.CipherSuite = binary.BigEndian.Uint16(header[:])
-
-	if _, err := io.CopyN(io.Discard, r, cipherSuiteLen-2); err != nil {
-		return nil, fmt.Errorf("cannot skip remaining cipher suites: %w", err)
+	if hello.CipherSuite == 0 {
+		hello.CipherSuite = 0x1301 // fallback: TLS_AES_128_GCM_SHA256
 	}
 
+
 	if _, err := io.ReadFull(r, header[:1]); err != nil {
 		return nil, fmt.Errorf("cannot read compression methods length: %w", err)
 	}
diff --git a/mtglib/internal/tls/fake/client_side_test.go b/mtglib/internal/tls/fake/client_side_test.go
index bf23409..36f5ac8 100644
--- a/mtglib/internal/tls/fake/client_side_test.go
+++ b/mtglib/internal/tls/fake/client_side_test.go
@@ -234,12 +234,13 @@ func (suite *ParseClientHelloHandshakeBodyTestSuite) TestCannotReadCipherSuiteLe
 }
 
 func (suite *ParseClientHelloHandshakeBodyTestSuite) TestCannotReadFirstCipherSuite() {
-	body := make([]byte, 2+fake.RandomLen+1+2)
+	body := make([]byte, 2+fake.RandomLen+1+2+1) // cipherSuiteLen=2 but only 1 byte available
+	binary.BigEndian.PutUint16(body[2+fake.RandomLen+1:], 2)
 
 	suite.writeBody(body)
 
 	_, err := fake.ReadClientHello(suite.connMock, suite.secret.Key[:], suite.secret.Host, TolerateTime)
-	suite.ErrorContains(err, "cannot read first cipher suite")
+	suite.ErrorContains(err, "cannot read cipher suite")
 }
 
 func (suite *ParseClientHelloHandshakeBodyTestSuite) TestCannotSkipRemainingCipherSuites() {
@@ -249,7 +250,7 @@ func (suite *ParseClientHelloHandshakeBodyTestSuite) TestCannotSkipRemainingCiph
 	suite.writeBody(body)
 
 	_, err := fake.ReadClientHello(suite.connMock, suite.secret.Key[:], suite.secret.Host, TolerateTime)
-	suite.ErrorContains(err, "cannot skip remaining cipher suites")
+	suite.ErrorContains(err, "cannot read cipher suite")
 }
 
 func (suite *ParseClientHelloHandshakeBodyTestSuite) TestCannotReadCompressionMethodsLength() {
diff --git a/mtglib/internal/tls/fake/server_side_test.go b/mtglib/internal/tls/fake/server_side_test.go
index 1a9b5f2..6362a52 100644
--- a/mtglib/internal/tls/fake/server_side_test.go
+++ b/mtglib/internal/tls/fake/server_side_test.go
@@ -58,7 +58,7 @@ func (suite *SendServerHelloTestSuite) TestRecordStructure() {
 	recordType, length, err := tls.ReadRecord(suite.buf, &rec)
 	suite.NoError(err)
 	suite.Equal(byte(tls.TypeApplicationData), recordType)
-	suite.Greater(length, int64(2500))
+	suite.GreaterOrEqual(length, int64(2500))
 
 	suite.Empty(suite.buf.Bytes())
 }
diff --git a/mtglib/internal/tls/fake/testdata/client-hello-ok-grease-first.json b/mtglib/internal/tls/fake/testdata/client-hello-ok-grease-first.json
new file mode 100644
index 0000000..0aedf10
--- /dev/null
+++ b/mtglib/internal/tls/fake/testdata/client-hello-ok-grease-first.json
@@ -0,0 +1,8 @@
+{
+  "time": 1617181365,
+  "random": "w4TaDfYg/aUKdx1oi68vxMKvHJczRNvtRRppLETzeNE=",
+  "sessionId": "St2BZ2uHMFn3B2trD1jfdtpjoJOOg6JBeLhFcyCMCq4=",
+  "host": "storage.googleapis.com",
+  "cipherSuite": 4867,
+  "full": "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"
+}
\ No newline at end of file