A recent work of Ali, Khali and Vagenas has shown that the existence of a minimallength and the subsequent existence of a Generalized Uncertainty Principle (GUP) modi_x001c_es theHawking temperature of black holes (BHs). A previous work of one of us (C. Corda) introduceda BH e_x001b_ective state which takes into account the BH's back reaction for the emission ofHawking radiation obtaining a non-strictly black body spectrum from the tunnelling mechanismcorresponding to the famous probability of emission of an outgoing particle found by Parikhand Wilczek. In the present work, we modify the e_x001b_ective temperature by taking into accountthe new result by Ali, Khali and Vagenas and, by using Hawking's periodicity arguments, wewrite down the corresponding modi_x001c_ed (by the GUP) e_x001b_ective metric. Thus, we obtain furthercorrections to the non-strictly thermal BH radiation spectrum as the _x001c_nal distributions take intoaccount both the BH dynamical geometry during the emission of the particle and the correctionto the Hawking temperature due to the GUP.
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