diff --git a/index.js b/index.js
index 03f8397..e9124f2 100644
--- a/index.js
+++ b/index.js
@@ -5,7 +5,7 @@ import terminalLink from 'terminal-link';
 
 const Link = props => {
 	return (
-		<Text unstable__transformChildren={children => terminalLink(children, props.url)}>
+		<Text unstable__transformChildren={children => terminalLink(children, props.url, {fallback: props.fallback})}>
 			{props.children}
 		</Text>
 	);
@@ -16,11 +16,13 @@ Link.propTypes = {
 		PropTypes.arrayOf(PropTypes.node),
 		PropTypes.node
 	]).isRequired,
-	url: PropTypes.string
+	url: PropTypes.string,
+	fallback: PropTypes.bool
 };
 
 Link.defaultProps = {
-	url: ''
+	url: '',
+	fallback: true
 };
 
 module.exports = Link;
diff --git a/package.json b/package.json
index 8256007..2fccaa1 100644
--- a/package.json
+++ b/package.json
@@ -38,7 +38,7 @@
 	],
 	"dependencies": {
 		"prop-types": "^15.7.2",
-		"terminal-link": "^1.2.0"
+		"terminal-link": "^2.1.1"
 	},
 	"devDependencies": {
 		"@babel/cli": "^7.2.3",
diff --git a/readme.md b/readme.md
index fd4c8ec..b3c20bb 100644
--- a/readme.md
+++ b/readme.md
@@ -43,6 +43,12 @@ Type: `string`
 
 The URL to link to.
 
+#### fallback
+
+Type: `boolean`\
+Default: `true`
+
+Determines whether the URL should be printed in parens after the text for unsupported terminals: `My website (https://sindresorhus.com)`.
 
 ## Related
 
diff --git a/test.js b/test.js
index 0c0a418..5873b45 100644
--- a/test.js
+++ b/test.js
@@ -37,3 +37,29 @@ test('render fallback', t => {
 	console.log(lastFrame());
 	t.snapshot(lastFrame());
 });
+
+test('exclude fallback if disabled', t => {
+	process.env.FORCE_HYPERLINK = 0;
+	const Link = require('.');
+
+	const {lastFrame} = render(
+		<Link url="https://sindresorhus.com" fallback={false}>
+			My Website
+		</Link>
+	);
+	console.log(lastFrame());
+	t.snapshot(lastFrame());
+});
+
+test('include fallback if explicitly enabled', t => {
+	process.env.FORCE_HYPERLINK = 0;
+	const Link = require('.');
+
+	const {lastFrame} = render(
+		<Link fallback url="https://sindresorhus.com">
+			My Website
+		</Link>
+	);
+	console.log(lastFrame());
+	t.snapshot(lastFrame());
+});
diff --git a/test.js.md b/test.js.md
index b04778a..91d2879 100644
--- a/test.js.md
+++ b/test.js.md
@@ -4,6 +4,12 @@ The actual snapshot is saved in `test.js.snap`.
 
 Generated by [AVA](https://ava.li).
 
+## exclude fallback if disabled
+
+> Snapshot 1
+
+    'My Website'
+
 ## render
 
 > Snapshot 1
@@ -14,4 +20,10 @@ Generated by [AVA](https://ava.li).
 
 > Snapshot 1
 
-    'My Website (https://sindresorhus.com)'
+    'My Website (​https://sindresorhus.com​)'
+
+## include fallback if explicitly enabled
+
+> Snapshot 1
+
+    'My Website (​https://sindresorhus.com​)'
diff --git a/test.js.snap b/test.js.snap
index 35dd436..7dc4752 100644
Binary files a/test.js.snap and b/test.js.snap differ