  Electroweak baryogenesis (EWBG) offers a compelling narrative for the
generation of the baryon asymmetry, however it cannot be realised in the
Standard Model, and leads to severe experimental tensions in the Minimal
Supersymmetric Standard Model (MSSM). One of the reasons for these experimental
tensions is that in traditional approaches to EWBG new physics is required to
enter at the electroweak phase transition, which conventionally is fixed near
$\sim$100 GeV. Here we demonstrate that the addition of sub-TeV fields in
supersymmetric extensions of the Standard Model permits TeV-scale strongly
first-order electroweak phase transition. While earlier literature suggested
no-go arguments with regards to high-temperature symmetry breaking in
supersymmetric models, we show these can be evaded by employing a systematic
suppression of certain thermal corrections in theories with a large number of
states. The models presented push the new physics needed for EWBG to higher
scales, hence presenting new parameter regions in which to realize EWBG and
evade experimental tensions, however they are not expected to render EWBG
completely outside of the foreseeable future experimental reach.
