  In [E. Tsukerman and L. Williams, {\em Bruhat Interval Polytopes}, Advances
in Mathematics, 285 (2015), 766-810] it is shown that every Bruhat interval of
the symmetric group satisfies the so-called generalized lifting property. In
this paper we show that a Coxeter group satisfies this property if and only if
it is finite and simply-laced.
