Giving up the restriction e/p=const, we show that equations of state with e−3p=Δ>0 will be driven to the inflationary solution with e=−p after sufficiently long times. Subsequently, we show that confinement transitions may provide such an equation of state due to a change of degrees of freedom. Depending on the energy scale of the confinement transition inflation may occur during confinement. Numerical results for quark and subquark confinement are given. For QCD-confinement the transition time is too short, compared to the energy density, for a significant deviation of the scale factor to occur.