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We show that non-minimal inflation, based on the phi^4 potential, may berendered unitarity conserving and compatible with the Planck results for4.6x10^(-3)<~r21=c2R/c1R^2<~1, if we introduce a linear contribution (c1R phi)to the frame function which takes the form fR=1+c1R phi+c2R phi^2.Supersymmetrization of this model can be achieved by considering two gaugesinglet superfields and combining a linear-quadratic superpotential term, witha class of logarithmic or semi-logarithmic Kaehler potentials with prefactorfor the logarithms including the inflaton field -(2n+3) or -2(n+1) where-0.01<~ n<~0.013.

Unitarizing non-Minimal Inflation via a Linear Contribution to the Frame Function