On the heels of Starbucks Corp.’s announcement this week to close 600 stores, the fate of the local store is still uncertain.

“Out of respect and dignity for our partners and our desire to share this information with impacted partners first, we are not publishing a full list of the stores,” said a Starbucks spokesman in an e-mail. “Individual stores will be notified by their district manager approximately 30 days prior to the anticipated closure date.”

Starbucks did not give details about which locations will be closed. The closures will begin this month and will contin...