The reports from Craven cottage indicate that the two teams have agreed a fee around £7.5m for the prolific midfielder.
The creative midfielder is expected to undergo a medical with Readings l on Tuesday.
Meanwhile, Fulham manager Slavisa Jokanovic has shown his displeasure towards the sale of the player.
According to him: “I have to fight for Sone Aluko, because around me is some news that we are thinking about selling him.
“If we do this, it will be a big mistake for my
team” he told the club website.
Aluko who has played for a host of Championship clubs, which includes Hull City, QPR and Fulham netted 9 goals in 54 appearances for the whites last season.