Invariant means on quantum weakly almost periodic compactifications

It is well known that the weakly almost periodic (WAP) compactification of a locally compact group carries an invariant mean. There exists a notion of a WAP compactification of a quantum group, given by Matthew Daws. However it is not clear if it carries an invariant mean, except for the case of a usual group. I will speak of another approach to quantum WAP compacitications which gives rise to invariant means.