Rangers manager Pedro Caixinha has held talks with Billy Gilmour's parents in a bid to convince the teenager to stay amid interest from Chelsea.
The Londoners have agreed a £350,000 fee with Rangers ahead of a potential switch but have yet to persuade the 15-year-old to move to Stamford Bridge.
Caixinha has already invited the Scotland under-15 captain to train with the Ibrox first team.
He said: "Billy is not only going to have a bright future in this club, he's also going to have a bright future in football.
"He is a bright kid, and a clever kid for me is someone who anticipates everything that is going on before all the others.
"Billy is that sort of player. He understands what is going on and at only 15 years old he can compete with boys of 20 years old.
"Now we have a situation with the club that he belongs to, with us, and a family situation.
"So we need to deal with it, and to do that we have held a meeting with his parents.
"I do believe that for Billy, the family ourselves or even Chelsea or another club later in the future to receive a player on another level, better ready to go on this adventure, it is better for him to stay here."