Enzyme integration testing testing with react router - testing components update with links

I would like to test that clicking on a link updates the components in my app.

Here's my app, when you click on about it renders the About component

import React, { Component } from 'react';
import './App.css';
import {
  MemoryRouter as Router,
  Route,
  Link
} from 'react-router-dom'


const Home = () => <h1>home</h1>
const About = () => <h1>about</h1>

class App extends Component {
  render() {
    return (
      <Router>
        <ul>
          <li><Link to="/about">About</Link></li>
          <li><Link to="/">Home</Link></li>
        </ul>
        <Route exact path="/" component={Home}/>
        <Route path="/about" component={About}/>
      </Router>
    );
  }
}

export default App;

And here's my test:

import React from 'react';
import Adapter from 'enzyme-adapter-react-16';
import Enzyme from 'enzyme';
import { mount } from "enzyme";
import { MemoryRouter} from 'react-router-dom'
import App from './App';

Enzyme.configure({ adapter: new Adapter() });


// this test passes as expected
it('renders intitial heading as home', () => {
  const wrapper = mount(
    <App />
  );

  const pageHeading = wrapper.find("h1").first().text()
  expect(pageHeading).toEqual('home');
});

it('renders about heading when we navigate to about', () => {
  const wrapper = mount(
    <App />
  );

  const link = wrapper.find("Link").first();
  link.simulate('click');

  const pageHeading = wrapper.find("h1").first().text()
  expect(pageHeading).toEqual('about');
});

The second test fails:

FAIL  src/App.test.js
  ● renders about heading when we navigate to about

    expect(received).toEqual(expected)

    Expected value to equal:
      "about"
    Received:
      "home"

I'm using react router v4, react 16 and enzyme 3.1

Is it possible to test in this way using React Router and enzyme?