In this work , we examine the possibility of realizing a strongly first-order electroweak phase transition within the minimal classically scale invariant extension of the standard model ( SM ) , previously proposed and analyzed as a potential solution to the hierarchy problem . By introducing one complex gauge-singlet scalar and three ( weak scale ) right-handed Majorana neutrinos , the scenario was successfully capable of achieving a radiative breaking of the electroweak symmetry ( by means of the Coleman-Weinberg Mechanism ) , inducing non-zero masses for the SM neutrinos ( via the seesaw mechanism ) , presenting a pseudoscalar dark matter candidate ( protected by the CP symmetry of the potential ) , and predicting the existence of a second CP -even boson ( with suppressed couplings to the SM content ) in addition to the 125 GeV scalar . In the present treatment , we construct the full finite-temperature one-loop effective potential of the model , including the resummed thermal daisy loops , and demonstrate that finite-temperature effects induce a first-order electroweak phase transition . Requiring the thermally-driven first-order phase transition to be sufficiently strong at the onset of the bubble nucleation ( corresponding to nucleation temperatures T _ { N } \sim 100 -200 GeV ) further constrains the model ’ s parameter space ; in particular , an \mathcal { O } ( 0.01 ) fraction of the dark matter in the universe may be simultaneously accommodated with a strongly first-order electroweak phase transition . Moreover , such a phase transition disfavors right-handed Majorana neutrino masses above several hundreds of GeV , confines the pseudoscalar dark matter masses to \sim 1 -2 TeV , predicts the mass of the second CP -even scalar to be \sim 100 -300 GeV , and requires the mixing angle between the CP -even components of the SM doublet and the complex singlet to lie within the range 0.2 \lesssim \sin \omega \lesssim 0.4 . The obtained results are displayed in comprehensive exclusion plots , identifying the viable regions of the parameter space . Many of these predictions lie within the reach of the next LHC run .