We have litterally hundreds of those in use in our facility due to almost the exact same issue. Ours are salvaged from old silver satin flat cable main-frame days and are rated at CAT3, but we get gigabit speed through them with no problems.
A long time ago we used to have 4 DEC PDP11's. Three live and one spare. Each unit supported about 250+ VT173 terminals. They were wired with the flat 8 conductor cables with RJ45 connectors on the ends into patch bays. From the spare unit, we ran 256 flat cables in 4 bundles to the center of the room under the floor with those RJ45-RJ45 adapters on the end. Poor man's patch bay. When one of the live systems would die (and they did) we'd pop the floor, pull out the bundles over to the dead system, move the connections from the dead system to the bundles, fire up and go. We never threw out the connectors when the PDPs were decomissioned.
Over the years, our building was wired on-the-cheap. They ran CAT5 cables into cubicles and just terminated them with enough cable to reach the PCs rather than putting a jack in each cube. It saved them about 5 bucks a cube, which was a lot on paper. However, decades go by, cubicles get re-arranged, distances change and all of a sudden you're faced with spending 5 bucks a cube again or using those RJ45-RJ45 splicers that you already have. No more money spent, so we did it that way since we already had them.
I would suggest, if this is a one time deal, go ahead and use one of the adapters. But if I had my preferences I'd rather add a jack to the wall and use the proper length patch cable from the wall jack to the computer. It's just the right way to do it.