Even dimensional complete intersections \(X\) of two quadrics in projective space are exceptional from the point of view of the Gromov-Witten theory: they are (together with surfaces of degrees 2 and 3) the only complete intersections whose Gromov-Witten theory is not invariant under the full orthogonal or symplectic group acting on the primitive cohomology. The genus~0 Gromov-Witten theory of \(X\) was studied by Xiaowen Hu. He used geometric arguments and the WDVV equation to compute all genus~0 correlators except one, which cannot be determined by his methods. In the paper we compute the remaining Gromov-Witten invariant of \(X\) using Jun Li’s degeneration formula.