Apple Inc. apologized for a security flaw in its FaceTime video-chat system and said a software fix is coming next week, as the iPhone maker sought to assure customers it moved fast to address an embarrassing vulnerability that drew the attention of government officials.

“We sincerely apologize to our customers who were affected and all who were concerned about this security issue,” an Apple spokesman said in a statement Friday. “We appreciate everyone’s patience as we complete this process.”