diff --git a/README.md b/README.md
index 84e723164..f092b54c6 100644
--- a/README.md
+++ b/README.md
@@ -14126,6 +14126,32 @@ function quux() {
 }
 // Settings: {"jsdoc":{"structuredTags":{"see":{"required":["typeOrNameRequired"],"type":false}}}}
 // Message: Cannot add "typeOrNameRequired" to `require` with the tag's `type` set to `false`
+
+/**
+ * @template T<~, R
+ * @param {function(!T): !R} parser
+ * @return {function(!Array<!T>): !Array<!R>}
+ */
+parseArray = function(parser) {
+    return function(array) {
+        return array.map(parser);
+    };
+};
+// Settings: {"jsdoc":{"mode":"closure"}}
+// Message: Syntax error in namepath: T<~
+
+/**
+ * @template T, R<~
+ * @param {function(!T): !R} parser
+ * @return {function(!Array<!T>): !Array<!R>}
+ */
+parseArray = function(parser) {
+    return function(array) {
+        return array.map(parser);
+    };
+};
+// Settings: {"jsdoc":{"mode":"closure"}}
+// Message: Syntax error in namepath: R<~
 ````
 
 The following patterns are not considered problems:
@@ -14369,6 +14395,30 @@ function quux() {
 
 }
 // Settings: {"jsdoc":{"structuredTags":{"see":{"name":"namepath-referencing"}}}}
+
+/**
+ * @template T, R
+ * @param {function(!T): !R} parser
+ * @return {function(!Array<!T>): !Array<!R>}
+ */
+parseArray = function(parser) {
+    return function(array) {
+        return array.map(parser);
+    };
+};
+// Settings: {"jsdoc":{"mode":"closure"}}
+
+/**
+ * @template T, R<~
+ * @param {function(!T): !R} parser
+ * @return {function(!Array<!T>): !Array<!R>}
+ */
+parseArray = function(parser) {
+    return function(array) {
+        return array.map(parser);
+    };
+};
+// Settings: {"jsdoc":{"mode":"jsdoc"}}
 ````
 
 
diff --git a/src/iterateJsdoc.js b/src/iterateJsdoc.js
index 9c91b8a78..234f77346 100644
--- a/src/iterateJsdoc.js
+++ b/src/iterateJsdoc.js
@@ -103,6 +103,10 @@ const getBasicUtils = (context, {tagNamePreference, mode}) => {
     });
   };
 
+  utils.parseClosureTemplateTag = (tag) => {
+    return jsdocUtils.parseClosureTemplateTag(tag);
+  };
+
   utils.getPreferredTagNameObject = ({tagName}) => {
     const ret = jsdocUtils.getPreferredTagName(context, mode, tagName, tagNamePreference);
     const isObject = ret && typeof ret === 'object';
diff --git a/src/rules/noUndefinedTypes.js b/src/rules/noUndefinedTypes.js
index e6e815dfd..f17b83976 100644
--- a/src/rules/noUndefinedTypes.js
+++ b/src/rules/noUndefinedTypes.js
@@ -112,7 +112,7 @@ export default iterateJsdoc(({
   }
 
   const closureGenericTypes = _.flatMap(templateTags, (tag) => {
-    return jsdocUtils.parseClosureTemplateTag(tag);
+    return utils.parseClosureTemplateTag(tag);
   });
 
   const allDefinedTypes = new Set(globalScope.variables.map(({name}) => {
diff --git a/src/rules/validTypes.js b/src/rules/validTypes.js
index d5dfd56bb..8c09b3408 100644
--- a/src/rules/validTypes.js
+++ b/src/rules/validTypes.js
@@ -164,7 +164,13 @@ export default iterateJsdoc(({
     ) && Boolean(tag.name);
 
     if (hasNameOrNamepathPosition) {
-      validNamepathParsing(tag.name, tag.tag);
+      if (mode !== 'jsdoc' && tag.tag === 'template') {
+        utils.parseClosureTemplateTag(tag).forEach((namepath) => {
+          validNamepathParsing(namepath);
+        });
+      } else {
+        validNamepathParsing(tag.name, tag.tag);
+      }
     }
   });
 }, {
diff --git a/test/rules/assertions/validTypes.js b/test/rules/assertions/validTypes.js
index 366ccd7fa..29b0cbaf9 100644
--- a/test/rules/assertions/validTypes.js
+++ b/test/rules/assertions/validTypes.js
@@ -632,6 +632,56 @@ export default {
         },
       },
     },
+    {
+      code: `
+      /**
+       * @template T<~, R
+       * @param {function(!T): !R} parser
+       * @return {function(!Array<!T>): !Array<!R>}
+       */
+      parseArray = function(parser) {
+          return function(array) {
+              return array.map(parser);
+          };
+      };
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Syntax error in namepath: T<~',
+        },
+      ],
+      settings: {
+        jsdoc: {
+          mode: 'closure',
+        },
+      },
+    },
+    {
+      code: `
+      /**
+       * @template T, R<~
+       * @param {function(!T): !R} parser
+       * @return {function(!Array<!T>): !Array<!R>}
+       */
+      parseArray = function(parser) {
+          return function(array) {
+              return array.map(parser);
+          };
+      };
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Syntax error in namepath: R<~',
+        },
+      ],
+      settings: {
+        jsdoc: {
+          mode: 'closure',
+        },
+      },
+    },
   ],
   valid: [
     {
@@ -1051,5 +1101,43 @@ export default {
         },
       },
     },
+    {
+      code: `
+      /**
+       * @template T, R
+       * @param {function(!T): !R} parser
+       * @return {function(!Array<!T>): !Array<!R>}
+       */
+      parseArray = function(parser) {
+          return function(array) {
+              return array.map(parser);
+          };
+      };
+      `,
+      settings: {
+        jsdoc: {
+          mode: 'closure',
+        },
+      },
+    },
+    {
+      code: `
+      /**
+       * @template T, R<~
+       * @param {function(!T): !R} parser
+       * @return {function(!Array<!T>): !Array<!R>}
+       */
+      parseArray = function(parser) {
+          return function(array) {
+              return array.map(parser);
+          };
+      };
+      `,
+      settings: {
+        jsdoc: {
+          mode: 'jsdoc',
+        },
+      },
+    },
   ],
 };