"(Walcott) sustained the problem in training with the national team on Thursday and will fly back on Saturday to be assessed by the club's medical staff," Arsenal's website said.
Earlier media reports indicated the 24-year-old was likely to be out for seven to 10 days, making him doubtful for Arsenal's Premier League game against relegation-threatened Reading at the Emirates stadium on March 30.
England are second in a tight Group H, two points behind leaders Montenegro and three ahead of Poland who have a game in hand.
