Milner, who linked up with Alli for England's recent friendlies, is convinced, given the time, the 19-year-old "can be 10 times better" than he is now.
"We want to be careful now and make sure we don't put too much on him. We know how good he can be but we have seen it time and time again... and there is a lot of pressure there," the Liverpool midfielder told British media.
"We want to take it off him and let him go out there and not worry about it, worry about playing football and keep improving because he is still young. Good as he is at this moment, he can be 10 times better and he will.
"He has a great attitude and will keep working hard and keep improving but we need to take that spotlight off him and let him develop and improve. We have seen how good he is and he will only get better I'm sure."
Milner, however, will be aiming to put a dent in Alli's hopes on winning the Premier League when Spurs, who are five points behind leaders Leicester City, travel to Anfield to face Liverpool on Saturday.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by John O'Brien)
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