Is there a comma between that and a temporal prepositional phrase

I’ve been struggling with the following sentence: "The Complaint also alleges that between May 2013 and February 2017, ABC transferred approximately $5,823,243.07 in rental payments to Atlantic Bank."

Should there be a comma at "that, between…"? Or should I just rewrite to say "The Complaint also alleges that ABC transferred approximately $5,823,243.07 in rental payments to Atlantic Bank between May 2013 and February 2017."

Thanks!