In the N = 1, d = 3 superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield.For this model, we explicitly calculate the one-loop correction to the superfield effective potential. In particular, we show that the one-loop effective potential is independent the gauge-fixing parameters. * Electronic address: fisicofabricio@yahoo.com.br † Electronic address: jroberto@fisica.ufpb.br ‡ Electronic address: petrov@fisica.ufpb.br § Electronic address: