diff --git a/README.md b/README.md
index 264a5ff2..e2809c3f 100644
--- a/README.md
+++ b/README.md
@@ -109,7 +109,7 @@ Normally packages will be tested using TypeScript 2.0.
 To use a newer version, specify it by including a comment like so:
 
 ```ts
-// TypeScript Version: 2.1
+// Minimum TypeScript Version: 2.1
 ```
 
 For DefinitelyTyped packages, this should go just under the header (on line 5).
diff --git a/package-lock.json b/package-lock.json
index 1c2f66f3..9aad2754 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1005,9 +1005,9 @@
       "integrity": "sha1-WuaBd/GS1EViadEIr6k/+HQ/T2Q="
     },
     "typescript": {
-      "version": "3.8.0-dev.20191030",
-      "resolved": "https://registry.npmjs.org/typescript/-/typescript-3.8.0-dev.20191030.tgz",
-      "integrity": "sha512-H4ICJQz3KmUy1V7MyBK+YjTDNTHPGuSIbCYxgJbhn/klrgs2P3jBuuS9neb5hpRNe4WU+dtXzPbfrl19czJgiw=="
+      "version": "3.8.0-dev.20200104",
+      "resolved": "https://registry.npmjs.org/typescript/-/typescript-3.8.0-dev.20200104.tgz",
+      "integrity": "sha512-Zdb8X1uzvUPrRvRBqega83NxqCuN/kyxuXG1u8BV10mGOqfwQb0SreSDoDDM1zUgrqFZ93neVh3DVyWTvx6XlA=="
     },
     "universalify": {
       "version": "0.1.2",
diff --git a/src/index.ts b/src/index.ts
index 259c3be8..59dc6e1a 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -195,7 +195,7 @@ async function testTypesVersion(
 ): Promise<void> {
     const minVersionFromComment = getTypeScriptVersionFromComment(indexText);
     if (minVersionFromComment !== undefined && inTypesVersionDirectory) {
-        throw new Error(`Already in the \`ts${lowVersion}\` directory, don't need \`// TypeScript Version\`.`);
+        throw new Error(`Already in the \`ts${lowVersion}\` directory, don't need \`// Minimum TypeScript Version\`.`);
     }
     const minVersion = lowVersion
         || minVersionFromComment && TypeScriptVersion.isSupported(minVersionFromComment) && minVersionFromComment
@@ -238,13 +238,12 @@ function assertPathIsNotBanned(dirPath: string) {
 }
 
 function getTypeScriptVersionFromComment(text: string): AllTypeScriptVersion | undefined {
-    const searchString = "// TypeScript Version: ";
-    const x = text.indexOf(searchString);
-    if (x === -1) {
+    const match = text.match(/\/\/ (?:Minimum)? TypeScript Version: /);
+    if (!match) {
         return undefined;
     }
 
-    let line = text.slice(x, text.indexOf("\n", x));
+    let line = text.slice(match.index, text.indexOf("\n", match.index));
     if (line.endsWith("\r")) {
         line = line.slice(0, line.length - 1);
     }
diff --git a/src/rules/dtHeaderRule.ts b/src/rules/dtHeaderRule.ts
index b8cb1acd..8be8a615 100644
--- a/src/rules/dtHeaderRule.ts
+++ b/src/rules/dtHeaderRule.ts
@@ -30,6 +30,7 @@ function walk(ctx: Lint.WalkContext<void>): void {
     if (!isMainFile(sourceFile.fileName, /*allowNested*/ true)) {
         lookFor("// Type definitions for", "Header should only be in `index.d.ts` of the root.");
         lookFor("// TypeScript Version", "TypeScript version should be specified under header in `index.d.ts`.");
+        lookFor("// Minimum TypeScript Version", "TypeScript version should be specified under header in `index.d.ts`.");
         return;
     }
 
diff --git a/src/rules/expectRule.ts b/src/rules/expectRule.ts
index b238dd13..ba9c5dd3 100644
--- a/src/rules/expectRule.ts
+++ b/src/rules/expectRule.ts
@@ -211,7 +211,7 @@ function walk(
             const msg = `Compile error in typescript@${versionName} but not in typescript@${nextHigherVersion}.\n`;
             const explain = nextHigherVersion === "next"
                 ? "TypeScript@next features not yet supported."
-                : `Fix with a comment '// TypeScript Version: ${nextHigherVersion}' just under the header.`;
+                : `Fix with a comment '// Minimum TypeScript Version: ${nextHigherVersion}' just under the header.`;
             return msg + explain;
         }
     }
diff --git a/test/dt-header/correct/types/foo/index.d.ts.lint b/test/dt-header/correct/types/foo/index.d.ts.lint
index ae1ed782..96bd3849 100644
--- a/test/dt-header/correct/types/foo/index.d.ts.lint
+++ b/test/dt-header/correct/types/foo/index.d.ts.lint
@@ -2,3 +2,4 @@
 // Project: https://github.com/bobby-headers/dt-header
 // Definitions by: Jane Doe <https://github.com/janedoe>
 // Definitions: https://github.com/DefinitelyTyped/DefinitelyTyped
+// Minimum TypeScript Version: 3.1