How to get params in parent route component

I'm building an app with React, React-Router (v5) and Redux and wonder how to access the params of the current URL in a parent route.

That's my entry, the router.js:

<Wrapper>
  <Route exact path="/login" render={(props) => (
    <LoginPage {...props} entryPath={this.entryPath} />
  )} />

  <Route exact path="/" component={UserIsAuthenticated(HomePage)} />
  <Route exact path="/about" component={UserIsAuthenticated(AboutPage)} />
  <Route path="/projects" component={UserIsAuthenticated(ProjectsPage)} />
</Wrapper>

And that's my ProjectsPage component:

class ProjectsPage extends PureComponent {
  componentDidMount() {
    this.props.fetchProjectsRequest()
  }

  render() {
    console.log(this.props.active)

    if (this.props.loading) {
      return <Loading />
    } else {
      return (
        <Wrapper>
          <Sidebar>
            <ProjectList projects={this.props.projects} />
          </Sidebar>
          <Content>
            <Route exact path="/projects" component={ProjectsDashboard} />

            <Switch>
              <Route exact path="/projects/new" component={ProjectNew} />
              <Route exact path="/projects/:id/edit" component={ProjectEdit} />
              <Route exact path="/projects/:id" component={ProjectPage} />
            </Switch>
          </Content>
        </Wrapper>
      )
    }
  }
}

const enhance = connect(
  (state, props) => ({
    active: props.match,
    loading: projectSelectors.loading(state),
    projects: projectSelectors.projects(state)
  }),
  {
    fetchProjectsRequest
  }
)

export default withRouter(enhance(ProjectsPage))

The problem is, that the console.log output in my render method is {"path":"/projects","url":"/projects","isExact":false,"params":{}} although the URL is http://localhost:3000/projects/14.

I want to add an ID prop to my ProjectList to highlight the currently selected project.

I could save the ID of the project in a store inside my ProjectPage component, but I think this would be a bit confusing, especially because the URL has the information actually – so why should I write something in the store?

Another (bad?) approach would be to parse the location object the get the ID by myself, but I think there is a react-router/react-router-redux way to get the params at this point that I've overlooked.