The lineup features original members Lee and guitarist Alex Lifeson, along with keyboardist Loren Gold and new drummer Anika Nilles.
"Thank you for your patience, your understanding, and for always standing with us," Rush said. "We look forward to seeing you in just a couple of weeks."
The reunion tour was supported by the family of original drummer Neil Peart, who died of brain cancer in 2020.
His widow, Carrie Nuttall-Peart, and daughter, Olivia, issued a joint statement endorsing the tour.
"We are thrilled to support the Fifty Something tour, celebrating a band whose music has resonated and inspired fans for generations," the family said.
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After the rescheduled Texas shows, the band is set to play four consecutive dates at the United Center in Chicago, Illinois, starting July 16.
