Prior was forced to miss the final session in Hobart as the game ended in a draw, but Flower does not believe that the injury will keep the 31-year-old out of the first Ashes Test match in Brisbane in less than two weeks' time.
The 45-year-old told reporters: "He has tweaked something in his calf, but we are not sure of the extent of it. We need to let it settle a little before we scan it.
"I don't think that it is anything too serious, and I don't think that it will keep him out of the first Test, but let's scan it and we can get more information."
Prior had scored 26 runs for England before their declaration.