  We study the nature of the superfluid--insulator quantum phase transition in
a one-dimensional system of lattice bosons with off-diagonal disorder in the
limit of large integer filling factor. Monte Carlo simulations of two strongly
disordered models show that the universality class of the transition in
question is the same as that of the superfluid--Mott-insulator transition in a
pure system. This result can be explained by disorder self-averaging in the
superfluid phase and applicability of the standard quantum hydrodynamic action.
We also formulate the necessary conditions which should be satisfied by the
stong-randomness universality class, if one exists.
