Crimson paludamentum for the legionary?

[Faustinus]

I know certain ranks such as a legatus would often wear them, but do we have any evidence that a typical legionary could? I see it all over the place in modern artwork/cinema/gaming, and can understand why because it looks impressive - but historically accurate? If so, what period and legion?

I ask because I would love to add one to my set to make it more magnificent!