diff --git a/lib/readline.js b/lib/readline.js
index 6a1ed150d72cd2..60864f40afdbc1 100644
--- a/lib/readline.js
+++ b/lib/readline.js
@@ -1039,9 +1039,6 @@ function emitKeypressEvents(stream, iface) {
   } else {
     stream.on('newListener', onNewListener);
   }
-  if (iface) {
-    iface.once('close', () => { stream.removeListener('data', onData); });
-  }
 }
 
 /**
diff --git a/test/parallel/test-readline-reopen.js b/test/parallel/test-readline-reopen.js
new file mode 100644
index 00000000000000..dead22d81ac961
--- /dev/null
+++ b/test/parallel/test-readline-reopen.js
@@ -0,0 +1,44 @@
+'use strict';
+
+// Regression test for https://github.com/nodejs/node/issues/13557
+// Tests that multiple subsequent readline instances can re-use an input stream.
+
+const common = require('../common');
+const assert = require('assert');
+const readline = require('readline');
+const { PassThrough } = require('stream');
+
+const input = new PassThrough();
+const output = new PassThrough();
+
+const rl1 = readline.createInterface({
+  input,
+  output,
+  terminal: true
+});
+
+rl1.on('line', common.mustCall(rl1OnLine));
+
+// Write a line plus the first byte of a UTF-8 multibyte character to make sure
+// that it doesn’t get lost when closing the readline instance.
+input.write(Buffer.concat([
+  Buffer.from('foo\n'),
+  Buffer.from([ 0xe2 ])  // Exactly one third of a ☃ snowman.
+]));
+
+function rl1OnLine(line) {
+  assert.strictEqual(line, 'foo');
+  rl1.close();
+  const rl2 = readline.createInterface({
+    input,
+    output,
+    terminal: true
+  });
+
+  rl2.on('line', common.mustCall((line) => {
+    assert.strictEqual(line, '☃bar');
+    rl2.close();
+  }));
+  input.write(Buffer.from([0x98, 0x83])); // The rest of the ☃ snowman.
+  input.write('bar\n');
+}
diff --git a/test/parallel/test-readline-set-raw-mode.js b/test/parallel/test-readline-set-raw-mode.js
index ddffd131d0baff..db42a5a9495a9e 100644
--- a/test/parallel/test-readline-set-raw-mode.js
+++ b/test/parallel/test-readline-set-raw-mode.js
@@ -74,8 +74,6 @@ assert(!rawModeCalled);
 assert(resumeCalled);
 assert(!pauseCalled);
 
-// One data listener for the keypress events.
-assert.strictEqual(stream.listeners('data').length, 1);
 
 // close() should call setRawMode(false)
 expectedRawMode = false;
@@ -88,5 +86,5 @@ assert(!resumeCalled);
 assert(pauseCalled);
 
 assert.deepStrictEqual(stream.listeners('keypress'), []);
-// Data listener is removed once interface is closed.
-assert.strictEqual(stream.listeners('data').length, 0);
+// one data listener for the keypress events.
+assert.strictEqual(stream.listeners('data').length, 1);