The influence of the spin-phonon coupling on soliton characteristics and the soliton response on the lattice subsystem in a quasi-one-dimensional magnetic chain is examined. It was found that, in the case of the ferromagnetic coupling, these correlations may induce reduction of the effective exchange integral which, in the temperature range where one-dimensional ordering prevails, may be maximally about 1%. Consequently the soliton energy and width suffer the negligible modification, too. On the other hand, the magnetic subsystem may have a certain impact on elastic subsystem characteristics, the speed of sound in particular. The character of these changes depends strongly on the type of the excitations of the magnetic subsystem---solitons or magnons.