diff --git a/packages/babel-parser/src/tokenizer/index.js b/packages/babel-parser/src/tokenizer/index.js
index 1d2ea02212fd..ab0dbe5b9237 100644
--- a/packages/babel-parser/src/tokenizer/index.js
+++ b/packages/babel-parser/src/tokenizer/index.js
@@ -1239,6 +1239,14 @@ export default class Tokenizer extends LocationParser {
       case charCodes.lineSeparator:
       case charCodes.paragraphSeparator:
         return "";
+      case charCodes.digit8:
+      case charCodes.digit9:
+        if (inTemplate) {
+          const codePos = this.state.pos - 1;
+
+          this.state.invalidTemplateEscapePosition = codePos;
+          return null;
+        }
       default:
         if (ch >= charCodes.digit0 && ch <= charCodes.digit7) {
           const codePos = this.state.pos - 1;
diff --git a/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/input.js b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/input.js
new file mode 100644
index 000000000000..adc52b823a24
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/input.js
@@ -0,0 +1 @@
+`\8`;
diff --git a/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/options.json b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/options.json
new file mode 100644
index 000000000000..3ae5cb6c96c4
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/eight/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "Invalid escape sequence in template (1:2)"
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/input.js b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/input.js
new file mode 100644
index 000000000000..b5435620b9cb
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/input.js
@@ -0,0 +1 @@
+`\9`;
diff --git a/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/options.json b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/options.json
new file mode 100644
index 000000000000..3ae5cb6c96c4
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/core/escape-template/non-octal/nine/options.json
@@ -0,0 +1,3 @@
+{
+  "throws": "Invalid escape sequence in template (1:2)"
+}
\ No newline at end of file