This paper proves the existence of Lp solution to the fuzzy functional equation x(t) = a(t)h(t, x(t)) + y(t) where a and y are fuzzy functions and h is a given deterministic function. This functional equation is fuzzified using Zadeh's extension principle and the existence theorem is proved using the contraction principle, Castaing representation theorem and Negoita and Ralescu's representation theorem. This supplements and earlier existence theorem we obtained for bounded fuzzy solutions.