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We consider asymptotic behavior of the correlation functions of thecharacteristic polynomials of the hermitian sample covariance matrices$H_n=n^{-1}A_{m,n}^*A_{m,n}$, where $A_{m,n}$ is a $m\times n$ complex matrixwith independent and identically distributed entries $\Re a_{\alpha j}$ and$\Im a_{\alpha j}$. We show that for the correlation function of any even orderthe asymptotic behavior in the bulk and at the edge of the spectrum coincideswith those for the Gaussian Unitary Ensemble up to a factor, depending only onthe fourth moment of the common probability law of entries $\Re a_{\alpha j}$,$\Im a_{\alpha j}$, i.e. the higher moments do not contribute to the abovelimit.

On the correlation functions of the characteristic polynomials of the hermitian sample covariance ensemble