We shall use small angle neutron scattering to investigate the structural behaviour of the temperature sensitive highly branched poly(N-isopropyl acrylamide) [PNIPAM]. These branched polymers have a transition temperature that depends on the degree of branching and the end group of such polymers. We have been able to produce highly branched PNIPAM with no cyclization or microgelation. PNIPAm shows changes in its structure both above (where the PNIPAm comes out of solution) and below the transition (where it is fully dissolved), with a maximum in its size expected at around the collapse transition temperature of the polymer.