Rhodes was with the Scots for their friendlies against the USA at Hampden this Friday and one Norway in Molde next Tuesday.
The Rovers striker limped out of training on Wednesday and has now returned to Brockhall.
Manager Gary Bowyer confirmed: "Jordan has withdrawn to get an injury assessed.
"He's returned to the club and we'll know more when he's had his scan this afternoon."
Rovers are back in action on Saturday 23rd November when Reading visit Ewood Park.
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