diff --git a/.README/rules/check-template-names.md b/.README/rules/check-template-names.md
index 34aaef77..64492c09 100644
--- a/.README/rules/check-template-names.md
+++ b/.README/rules/check-template-names.md
@@ -1,7 +1,7 @@
 # `check-template-names`
 
 Checks that any `@template` names are actually used in the connected
-`@typedef` or type alias.
+`@typedef`, `@callback`, `@function` or type structure.
 
 Currently checks `ClassDeclaration`, `FunctionDeclaration`,
 `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
diff --git a/docs/rules/check-template-names.md b/docs/rules/check-template-names.md
index 996895d0..f7ce1ca0 100644
--- a/docs/rules/check-template-names.md
+++ b/docs/rules/check-template-names.md
@@ -3,7 +3,7 @@
 # <code>check-template-names</code>
 
 Checks that any `@template` names are actually used in the connected
-`@typedef` or type alias.
+`@typedef`, `@callback`, `@function` or type structure.
 
 Currently checks `ClassDeclaration`, `FunctionDeclaration`,
 `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
@@ -190,6 +190,30 @@ export default class <NumType> {
   add: (x: NumType, y: NumType) => NumType;
 }
 // Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ * @callback
+ * @returns {[X, Y | undefined]}
+ */
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ * @function
+ * @returns {[X, Y | undefined]}
+ */
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ * @function
+ * @param {[X, Y | undefined]} someParam
+ */
+// Message: @template D not in use
 ````
 
 
@@ -327,5 +351,26 @@ export default class <NumType> {
  */
 export function mapGroupBy(array, callbackFn) {
 }
+
+/**
+ * @template D
+ * @template V
+ * @callback
+ * @returns {[D, V | undefined]}
+ */
+
+/**
+ * @template D
+ * @template V
+ * @function
+ * @returns {[D, V | undefined]}
+ */
+
+/**
+ * @template D
+ * @template V
+ * @function
+ * @param {[D, V | undefined]} someParam
+ */
 ````
 
diff --git a/src/rules/checkTemplateNames.js b/src/rules/checkTemplateNames.js
index 28b2c180..df38316b 100644
--- a/src/rules/checkTemplateNames.js
+++ b/src/rules/checkTemplateNames.js
@@ -43,6 +43,36 @@ export default iterateJsdoc(({
     });
   };
 
+  const checkParamsAndReturnsTags = () => {
+    const paramName = /** @type {string} */ (utils.getPreferredTagName({
+      tagName: 'param',
+    }));
+    const paramTags = utils.getTags(paramName);
+    for (const paramTag of paramTags) {
+      checkForUsedTypes(paramTag.type);
+    }
+
+    const returnsName = /** @type {string} */ (utils.getPreferredTagName({
+      tagName: 'returns',
+    }));
+    const returnsTags = utils.getTags(returnsName);
+    for (const returnsTag of returnsTags) {
+      checkForUsedTypes(returnsTag.type);
+    }
+  };
+
+  const checkTemplateTags = () => {
+    for (const tag of templateTags) {
+      const {name} = tag;
+      const names = name.split(/,\s*/);
+      for (const name of names) {
+        if (!usedNames.has(name)) {
+          report(`@template ${name} not in use`, null, tag);
+        }
+      }
+    }
+  };
+
   /**
    * @param {import('@typescript-eslint/types').TSESTree.FunctionDeclaration|
    *   import('@typescript-eslint/types').TSESTree.ClassDeclaration|
@@ -57,31 +87,10 @@ export default iterateJsdoc(({
       usedNames.add(name);
     }
     if (checkParamsAndReturns) {
-      const paramName = /** @type {string} */ (utils.getPreferredTagName({
-        tagName: 'param',
-      }));
-      const paramTags = utils.getTags(paramName);
-      for (const paramTag of paramTags) {
-        checkForUsedTypes(paramTag.type);
-      }
-
-      const returnsName = /** @type {string} */ (utils.getPreferredTagName({
-        tagName: 'returns',
-      }));
-      const returnsTags = utils.getTags(returnsName);
-      for (const returnsTag of returnsTags) {
-        checkForUsedTypes(returnsTag.type);
-      }
-    }
-    for (const tag of templateTags) {
-      const {name} = tag;
-      const names = name.split(/,\s*/);
-      for (const name of names) {
-        if (!usedNames.has(name)) {
-          report(`@template ${name} not in use`, null, tag);
-        }
-      }
+      checkParamsAndReturnsTags();
     }
+
+    checkTemplateTags();
   };
 
   const handleTypeAliases = () => {
@@ -116,6 +125,14 @@ export default iterateJsdoc(({
     }
   };
 
+  const callbackTags = utils.getTags('callback');
+  const functionTags = utils.getTags('function');
+  if (callbackTags.length || functionTags.length) {
+    checkParamsAndReturnsTags();
+    checkTemplateTags();
+    return;
+  }
+
   const typedefTags = utils.getTags('typedef');
   if (!typedefTags.length || typedefTags.length >= 2) {
     handleTypeAliases();
diff --git a/test/rules/assertions/checkTemplateNames.js b/test/rules/assertions/checkTemplateNames.js
index 639448ad..98dc1827 100644
--- a/test/rules/assertions/checkTemplateNames.js
+++ b/test/rules/assertions/checkTemplateNames.js
@@ -402,6 +402,66 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @callback
+         * @returns {[X, Y | undefined]}
+         */
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @function
+         * @returns {[X, Y | undefined]}
+         */
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @function
+         * @param {[X, Y | undefined]} someParam
+         */
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+    },
   ],
   valid: [
     {
@@ -624,5 +684,35 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @callback
+         * @returns {[D, V | undefined]}
+         */
+      `,
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @function
+         * @returns {[D, V | undefined]}
+         */
+      `,
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         * @function
+         * @param {[D, V | undefined]} someParam
+         */
+      `,
+    },
   ],
 };