The news was announced in a Facebook post.
"These values have always been at the heart of Sephora, and we’re excited to welcome everyone when we reopen," the post read.
Their post also included a video message:
"Sephora believes in championing all beauty, living with courage, and standing fearlessly together to celebrate our differences.
"We will never stop building a community where diversity is expected, self-expression is honoured, all are welcomed, and you are included," the video reads.
Sephora also tweeted an apology to SZA at the time of the incident.
"We want to let you know we take complaints like this very seriously and are actively working with our teams to address the situation immediately," the tweet read. "You are part of the Sephora family, and we are committed to ensuring every member of our community feels welcome and included at our stores."
Sephora operates more than 460 stores across America, according to its website.