Can we have our marriage convalidated immediately?
May two Baptists, baptized in the Trinity, married by a justice of the peace, and now going through RCIA to enter the Catholic Church, have their marriage convalidated immediately?
From what you’ve stated, I don’t see any reason that your marriage needs to be convalidated. Marriages between non-Catholics are generally considered valid unless proven otherwise. And since you both were apparently validly baptized (even though outside the Catholic Church), your marriage is also sacramental.