However, Bilic has admitted that the winger will probably have to withdraw from selection after seemingly picking up an injury in Saturday's 3-2 defeat to Leicester City.
The Croatian coach, who also looks set to have key defender Winston Reid on the sidelines, told BBC Sport: "It doesn't look good with Winston and now it looks like Michail won't be able to go with the England squad. He felt a hamstring.
"We have to assess them next couple of days. Hopefully, they will be fit after the international break."
Antonio has been called up three times to represent his country, but is as yet uncapped.