Robben, 23, will leave Chelsea's USA camp in California and fly to Madrid and sign a four-year deal on Friday.
The only thing remaining is the fee - believed to be in the £13m bracket.
Personal terms have already been agreed .
The wingman's final match for Chelsea was this morning's 45 minute outing in the 1-0 win against Samsung Bluewings.
It brings an end to a three-year stop-start career for the player who was more on the treatment table than the pitch, it seemed.