In this paper, we study almost minimizers for the parabolic thin obstacle (or Signorini) problem with zero obstacle. We establish their Hσ,σ/2-regularity for every 0<σ<1, as well as Hβ,β/2-regularity of their spatial gradients on the either side of the thin space for some 0<β<1. A similar result is also obtained for almost minimizers for the Signorini problem with variable Hölder coefficients.