The under-fire Toffees boss repeated an earlier claim that the former England international's potential move to Major League Soccer side DC United was "not in my hands now".
However, it looks like there will be an update this week, with Allardyce adding on Sky Sports' Season Review - Managers Special: "It's moved on with his representative and the board from here, which I believe may be Wednesday."
Rooney finished the season as the Toffees' leading scorer, with 11 goals, but was absent for Everton's last game of the season with a knee injury.
Allardyce's own future remains in doubt due to his unpopularity with a large section of the fan base, and he added: "Who knows what's going to happen next?
"The season has finished, I'm going to have a meeting with (owner) Farhad (Moshiri) this week and then I'm going on my holidays."
On the negativity from sections of supporters, he said: "It's my job to turn that around, get better results, get better players for Everton and play better, then those fans will enjoy their football a bit more than they are at the moment.
"We've had a good season and the voices, who doesn't get stick as a manager? I think there's only three who haven't had any stick - Jurgen Klopp, Sean Dyche and Pep Guardiola - the rest of us have had it when it's our turn."