In ELMy H-mode, increasing the density generally results in a reduction of the energy confinement time to below the value predicted by the scaling law [1]. This confinement density limit has been attributed to the transition at the edge from type-I to type III ELMs. The collapse of the plasma edge from type-I to type-III ELMy regime can be avoided if the gas puffing rate is restricted. In such discharges the central density monotonically increases with a long time-scale and exceeds the Greenwald density limit (GDL) while type-I ELMs and good energy confinement are preserved [2, 3, 4]. During this process the pedestal density is clamped just below the GDL leading to a peaked density profile. Note that pedestal densities at the GDL has been recently achieved [5]. This paper reports on reproducing the scenario with density peaking on JET and identification of limiting factors.