Chain-end free volume theory is extended for studying the glass transition temperature (T-g) as a function of conversion in hyperbranched polymers T-g is found to have a non-linear inverse relationship to the molecular weight for polymers obtained by self condensing vinyl polymerization (SCVP). During the monomer conversion process T-g decreases with the increase in molecular weight (P) in the low conversion range, then levels off in the high conversion range.