Sky Sports reporter James Cooper says the Manchester United midfielder will make a £22m switch to Goodison Park later today.
The deal could rise to £24m and is expected to go through without any problems.
Schneiderlin’s departure has also prompted to United boss Jose Mourinho to trigger a clause in Marouane Fellaini’s contract, Cooper says.
United have today handed the Belgian a one-year extension, keeping him at Old Trafford until the summer of 2018.
Cooper said: “Everton are trying to tie up that deal. No problems expected with it with his medical done.
“Everton have put down £22m on the table with Manchester United and maybe increasing that to £24m.
“But with all things taken into account, there should be no problems with it.
“Morgan Schneiderlin should be confirmed as an Everton player later this afternoon