Define an $S^{1}$-spectrum $E$ to be a sequence of pointed simplicial sets $E_{n},\\ n=0,1,2...$ with assembly morphisms $\sigma_{n}:S^{1}\wedge E_{n}\rightarrow E_{n+1}$. An $S^{1}$-spectrum $E$ is now called $\textit{fibrant}$ if all the simplicial sets $E_{n}$ are Kan-fibrant and the adjoint $E_{n}\rightarrow\Omega (E_{n+1})$ of $\sigma_{n}$ is a simplicial weak equivalence. My questions is now if the coproduct $\vee {E_{i}}$ of fibrant spectra $E_{i}$ is fibrant again?

Thank you