We have four Boston Terriers. Two are diggers and two are not. If you are looking for a dog that does not dig...it would be best to look for a rescue. The people taking care of the rescue would know if that particular dog was a digger or not. Our two dogs that do the digging do not dig under the fence to get out, they just dig holes to look for stuff...bugs I guess. But they mostly stay inside and are only outside for about 10-15 minutes each "potty break". Boston Terriers should mostly be kept inside anyway. If we had any potted plants inside the house the two diggers would definitely dig them out. However, with the proper training you can get them to not be a digger.