The Spanish champions hope to tie up the transfer of the 26-year-old Croatian international and hope to make room for him in the squad by loaning out the 2007 World Player of the Year.
Modric’s arrival will push him further down the pecking order and former club AC Milan, along with Turkish giants Galatasaray, have already revealed their interest in signing the Brazilian international.
Xabi Alonso, Lassana Diarra, Sami Khedira Angel de Maria and Mesut Ozil all currently stand in the way of Kaka’s path to the starting lineup and Jose Mourinho wants his £250,000-a-week salary off the wage bill.
Kaka managed to make 41 appearances in all competitions as he picked up his first La Liga winners medal last term but will spend most of the new season on the bench.
Sir Alex Ferguson is reportedly giving serious consideration to signing him despite fears over his form and fitness after a spate of injuries during his time at the Santiago Bernabeu.
But with Ferguson is considering selling Dimitar Berbatov to Sunderland he could make a shock swoop for the 30-year-old before the transfer window closes in two weeks.
Mourinho is reluctant to let him join a rival Champions League club whilst its thought the Red Devil’s chief will have to review his finances in the wake of signing Robin Van Persie from Arsenal.
He has endured a torrid time since moving to Madrid for £60m in 2009 after six successful years with Milan lifting the Serie A title and Champions League at the San Siro.
Meanwhile, United are close to bringing in cover for Patrice Evra in the shape of 23-year-old left back Alexander Buttner who is close to sealing £3.9million switch from Vitesse Arnhem.