The Czech captain has enjoyed something of a renaissance this season with a series of eye-catching performances for Arsenal, but must now meet with a doctor to assess his injury.
“The muscle is not torn but it is necessary for me to consult a doctor," Rosicky told Sky Sports.
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"After that, all being well, I will rejoin the squad," he added.
As a precaution, coach Michal Bilek has called up Victoria Plzen midfielder Vladimir Darida to the training camp, but he remains optimistic that his skipper will recover in time for the start of the tournament.
"For the moment there is no great panic as regards the fitness of Rosicky,” Bilek stated.
"But if towards the end of the week Tomas [Rosicky] is still not 100 per cent ready then [Vladimir] Darida will be selected for the Euro [championships], at the expense of an already selected player."