  In this paper, we study the upper bounds on the mass insertion parameters
$(\delta^{q}_{AB})_{ij}$ in the minimal supersymmetric standard model (MSSM).
We found that the information from the measured branching ratio of $B \to X_s
l^+ l^-$ decay can help us to improve the upper bounds on the mass insertions
parameters $\left (\delta^{u,d}_{AB})_{3j,i3}$. Some regions allowed by the
data of $Br(B \to X_s \gamma) $ are excluded by the requirement of a SM-like
$C_{7\gamma}(m_b)$ imposed by the data of $Br(B \to X_s l^+ l^-)$.
