Many real-life applications need to handle and manage time pieces of information. Allen temporal relations are one of the most used and known formalisms for modelling and handling temporal data. This paper discusses a novel idea to introduce some kind of flexibility in defining such relations between two fuzzy time intervals. The key concept of this approach is a fuzzy tolerance relation conveniently modelled. Tolerant Allen temporal relations are then defined using the dilated and the eroded intervals of the initial fuzzy time intervals. By leveraging some particular fuzzy indices to compare two fuzzy time intervals, this extension of Allen relations is integrated in the Fuzz-TIME system developed in our previous works.