One of the challenging problems of Magnetized Target Fusion is development of the ways of transporting energy to the target situated at a large-enough distance from the energy source: the distance should be such as to prevent damage to the permanent parts of the source. Several schemes have been considered in the past, including the use of particle beams coupled with the inverse diode, mechanical projectiles in combination with magneto-compressional generators, and the plasma liner. In this paper, a possible modification of the original concept of the plasma liner (Y.C.F. Thio, C.E. Knapp, R.C. Kirkpatrick, R.E. Siemon, P.J. Turchi. J. Fusion Energy, 20, 1, 2001) is described. The modification consists in creating a thin, higher density shell made of a high-Z plasma and accelerating it onto an MTF target by a thermal pressure of a hydrogen plasma with the temperature ~ 10 eV. We discuss constraints on the parameters of this system and evaluate convergence ratio that can be expected.