The present invention relates to a method for covering an elongate object in particular an electric cable or a pipe. The method includes providing a covering assembly which includes a tubular elastic covering element having at least one end which is folded to define at least one backward folded portion and at least one forward folded portion; a first supporting element which is arranged radially internal to the covering element and which holds the covering element in a radially stretched condition, and a second supporting element which is coaxially arranged around the first supporting element, the second supporting element holding said forward folded portion of the tubular elastic covering element in a radially stretched condition; removing the first supporting element to allow the sleeve to gradually collapse onto the elongate object.