Of course, if we do not want to have this riding turn over two of the wraps at the bottom side of the pole, where it is not directly visible and inspected, and we do not mind about the oblique crossings of the lines at the top side, we can always tie three-wrap, two Us tight hitch shown below.
I remind the reader that, as it happens with many symmetric "tight hitches" / binding knots ( the Double Locked Cow hitch included ), he has to pre-tighten this hitch by pulling both its free ends in an alternating way, one at a time, and the one after the other. The tensile forces that can be accumulated into the wraps can become very strong, but not strong enough to allow the wraps "swallow" the ends, and unlock them. The opposed bights mechanism is miraculously efficient, because, at the area of mutual contact, the tensioned lines meet each other at the optimum, the "right" angle ( 90 degrees ), and so they can "bite" hard and deep into each other s body, and maximize the generated friction forces.
(*) Note :
If we do not care about perfect symmetry, we can remove the crossing of the direct continuation of one ( and one only ) end with the leg of the locking bight which it meets ( i.e., pass it "over" rather than "under" this leg ), and get a very similar TIB hitch, with almost exactly the same properties regarding safety and tightness. I do not like this slight asymmetry, which, in an almost perfectly symmetric knot, looks like a fly in the ointment, but sometimes this is a price we have to pay, in order to get a TIB knot.