The novel blend comprises:(A) from 1 to 99% by weight of at least one thermotropic-liquid-crystalline polyester and/or polyesteramide and(B) from 1 to 99% by weight of at least one sulfoxide group-containing polymer,in each case based on the total weight .SIGMA.�(A)+(B)!. Component (B) is a linear and/or branched polymer having a mean molecular weight M.sub.w in the range from 4,000 to 200,000 comprising recurring units of the formula �--F--S).sub.c --(F--SO).sub.d --!, where F, independently of one another, are simple or para-, meta- or ortho-linked arylene systems having 6 to 18 carbon atoms, preferably phenylene, naphthylene or biphenylene, where the sum c+d is 1, with the proviso that d is always .gtoreq.0.70. Component (A) is a thermotropic liquid-crystalline polymer having a mean molecular weight M.sub.w in the range from 10,000 to 200,000 g/mol and a transition temperature of >250.degree. C., and/or an amorphous thermotropic liquid-crystalline polymer having a mean molecular weight M.sub.w of from 10,000 to 200,000 g/mol and a glass transition temperature of >160.degree. C.