The 15 year old has already spent time on trial at Newcastle and Arsenal, and with West Ham also keen to have a closer look at him - Gills boss Stimson is resigned to losing the talented tyro.
"He is going to West Ham United for a day to have a look around there. He will then make a decision.
"Those clubs will speak to our chairman and something might come of that. I think he will be moving on but only if that is right for the football club.
"If they were to take it to the end of the year, it could go to a tribunal but I think clubs are being sensible and realising how good the kids are.
"There a lot of young kids moving about the country for two or three hundred grand so I think we'd be looking at that bracket for Luke plus obviously the pre-season game and the appearance fees and that stuff.
"It has to be attractive for us because he is a talent. When I first arrived here, he was a sub for the youth team but seeing him play and get involved, it is something really positive to come out of my short time here."