Amko, being a big time user of leather strops for some 45 years, I believe you'll be disappointed in the performance of that strop on such a large blade. You'll find that you must go slow- - this can be bad-- and that the strop just does not contact enough of the blade to make your efforts worth while. It can be done successfully though.
A leather strop backed with wood is very easy to make. They don't have to have a fancy bone in its body. I believe you'll want something that is about 14 inches long and something over 2 inches wide, but 2" wide is a good place to start. If you are wanting a shaving edge on that, use 3 in 1 oil to cover the leather and then apply some white honing creme on it. That will shine the blade as well as put an edge on it that will literally shave the hair off your eye lids and forehead. For wood carving on rifle stocks, I use common red jewelers rouge on the leather. I must have an an edge that will cut chips or shavings so thin that light passes through them.
I made two strops just last week and try to make the strop fit the blade proportionally. A small pen knife would shape up super with the strop you currently have. I normally use cow hide, but will use mule hide for large sized khuk blades. For fine and scary sharp edges I may use some lamb skin. My swords get a very long strop, but my razors use a strop (a.k.a. "Russian strop") that is not backed at all and then a linen cloth strop for the ultra edge. It's about 24 inches long. The tops of an old pair of boots you might be wearing will hone knives & bayonets up pretty good and quickly, too. Apologize for running this out so long.