The striker, left out of the England squad for the World Cup qualifiers against Slovenia and Lithuania, has also been ill this week and is a doubt for Saturday's trip to Bournemouth.
"Over the next seven to 10 days we will assess it (hip injury) and see where we go with it, but I am expecting it to get better because he has had the rest," Shakespeare told the Leicester Mercury.
"He didn't train until Thursday last week. He has been a bit under the weather this week but we have been managing his hip... so it is his first time on the grass on Thursday," he added.
"I am hoping there is no reaction. The reason I am telling you that is to make sure you are always aware of the challenges players going on international duty brings, with some we have been managing and trying to get them through games."
Should the 30-year-old pass a late fitness test, he will look to add to his five goals from six matches and help 17th placed Leicester avoid dropping into the bottom three.
Bournemouth are two spots below their rivals but have not lost in the four league meetings between the two teams.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Sudipto Ganguly)
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