We report deep radio observations of nearby Type Ia supernovae (SNe Ia) with the electronic Multi-Element Radio Linked Interferometer Network and the Australia Telescope Compact Array. No detections were made. With standard assumptions for the energy densities of relativistic electrons going into a power-law energy distribution and the magnetic field strength (ò e =ò B =0.1), we arrive at upper limits on mass-loss rate for the progenitor system of SN2013dy(SN 2016coj, SN 2018gv, SN 2018pv, SN 2019np) of-() . We compare those limits with the expected mass-loss rates in different single-degenerate progenitor scenarios. We also discuss how information on ò e and ò B can be obtained from late observations of SNeIa and the youngest SNIa remnant detected in radio, G1.9+0.3, as well as strippedenvelope core-collapse SNe. We highlight SN2011dh and argue for ò e ≈0.1 and ò B ≈0.0033. Finally, we discuss strategies to observe at radio frequencies to maximize the chance of detection, given the time since explosion, the distance to the SN, and the telescope sensitivity.