Solution 1:

I needed the same when shallowing a react functional component that uses useHistory.

Solved with the following mock in my test file:

jest.mock('react-router-dom', () => ({
  useHistory: () => ({
    push: jest.fn(),
  }),
}));

Solution 2:

This one worked for me:

jest.mock('react-router-dom', () => ({
  ...jest.requireActual('react-router-dom'),
  useHistory: () => ({
    push: jest.fn()
  })
}));

Solution 3:

Here's a more verbose example, taken from working test code (since I had difficulty implementing the code above):

Component.js

  import { useHistory } from 'react-router-dom';
  ...

  const Component = () => {
      ...
      const history = useHistory();
      ...
      return (
          <>
              <a className="selector" onClick={() => history.push('/whatever')}>Click me</a>
              ...
          </>
      )
  });

Component.test.js

  import { Router } from 'react-router-dom';
  import { act } from '@testing-library/react-hooks';
  import { mount } from 'enzyme';
  import Component from './Component';
  it('...', () => {
    const historyMock = { push: jest.fn(), location: {}, listen: jest.fn() };
    ...
    const wrapper = mount(
      <Router history={historyMock}>
        <Component isLoading={false} />
      </Router>,
    ).find('.selector').at(1);

    const { onClick } = wrapper.props();
    act(() => {
      onClick();
    });

    expect(historyMock.push.mock.calls[0][0]).toEqual('/whatever');
  });