The Grifone signed Boateng from Portsmouth in the summer to then immediately loan him to the Rossoneri, but details of a permanent transfer are still up in the air.
"We'll meet with Adriano Galliani on Tuesday. If we don't resolve it then, it means we have serious problems," explained Preziosi.
"If I have to give a percentage, then I'd say I'm 90 per cent sure the matter will be closed on Tuesday. I'll be glad for this soap opera to end, as I frankly don't think it's a major problem."
There are several loan and co-ownership deals in these negotiations, including goalkeeper Marco Amelia and striker Alberto Paloschi.
"The situation is a little complicated, as it involves eight players and not just Boateng. I hope we don't get into an argument, but the friendship between the clubs should ensure a conciliatory position all round.
"Genoa will make their requests for Amelia, who is not a part of our plans. There is an agreement with Milan, we have already looked elsewhere, so we hope the promises are kept."