  In this peaper we stady certain Bessel sequences
$\left\{f_k\right\}_{k=1}^{\infty}$ in Hilbert C*- modules $\mathcal{H}$ for
which operator $S$ defined by \ref{eq2} is of the form $\mathcal{T}+\xi I$, for
some real number $\xi$ and a adjointable linear operator $\mathcal{T}$.
Additionally, we investigate frames known as compact-tight frames, which have
frame operators that are compact perturbations of constant multiples of the
identity. As a conclusion, we provide a theory regarding the weaving of
specific compact-tight frames.
