Multiple reports suggest that the Belgium striker underwent the medical test with Chelsea doctors at Chateau du Haillan in Bordeaux on Wednesday and also agreed personal terms with the West London club.
It is understood that Batshuayi will sign a five-year deal for a transfer fee of £33.2million.
Of the deal, Wilmots said: "I think it is best that players are busy with transfers.
"This shows that they have worked hard. They had a free afternoon yesterday and some took the opportunity to move forward with transfer issues. It's good to solve these problems.
"He did not ask me for advice [over the move]. Marseille just asked me to release him for two hours for a medical visit from 10 am to noon. That's all."