Yes, after machining for the tube the remaining barrel wall thickness needs to be at minimum 0.015”. This translates to an OD of .845” or larger for Rem-Choke tubes, .825” for standard Tru-Choke tubes or .805” for Tru-Choke “Thinwall” tubes (but Thinwall tubes are generally recommended for lead shot, target velocity loads only).
If your 13/16" is exact measurement then "Thinwall" tubes are your only option....but check that OD with a good dial caliper or micrometer. Another .013" or so may open more possibility.
Steve Rose
Rose Action Sports, LLC
http://www.roseactionsports.com