diff --git a/packages/eslint-plugin/src/rules/no-implied-eval.ts b/packages/eslint-plugin/src/rules/no-implied-eval.ts
index 25eac2adbc6..c7caf2d4bef 100644
--- a/packages/eslint-plugin/src/rules/no-implied-eval.ts
+++ b/packages/eslint-plugin/src/rules/no-implied-eval.ts
@@ -108,6 +108,7 @@ export default util.createRule({
 
         case AST_NODE_TYPES.MemberExpression:
         case AST_NODE_TYPES.Identifier:
+        case AST_NODE_TYPES.ConditionalExpression:
           return isFunctionType(node);
 
         case AST_NODE_TYPES.CallExpression:
diff --git a/packages/eslint-plugin/tests/rules/no-implied-eval.test.ts b/packages/eslint-plugin/tests/rules/no-implied-eval.test.ts
index a9867d73018..de619abbc8b 100644
--- a/packages/eslint-plugin/tests/rules/no-implied-eval.test.ts
+++ b/packages/eslint-plugin/tests/rules/no-implied-eval.test.ts
@@ -251,6 +251,12 @@ const foo = (callback: Function) => {
   setTimeout(callback, 0);
 };
     `,
+    `
+const foo = () => {};
+const bar = () => {};
+
+setTimeout(Math.radom() > 0.5 ? foo : bar, 0);
+    `,
   ],
 
   invalid: [
@@ -606,6 +612,21 @@ const fn = (foo: string | any) => {
     },
     {
       code: `
+const foo = 'foo';
+const bar = () => {};
+
+setTimeout(Math.radom() > 0.5 ? foo : bar, 0);
+      `,
+      errors: [
+        {
+          messageId: 'noImpliedEvalError',
+          line: 5,
+          column: 12,
+        },
+      ],
+    },
+    {
+      code: `
 window.setTimeout(\`\`, 0);
 window['setTimeout'](\`\`, 0);