The Integral Transform Technique is used to solve the turbulent forced convection problem for drag-reducing fluids in the thermal developing and fully developed regions within circular tubes. Turbulent effects are taken into account through an algebraic model corresponding to the minimum-drag asymptotic case for viscoelastic fluids. The well-established Sign-Count Method and the Generalized Integral Transform Technique (GITT) are both employed in order to compute the eigenvalues and the respective eigenfunctions of the associated Sturm-Liouville problem. The Nusselt numbers calculated with the present approach are then compared with those obtained from experimental works available in the literature.