The Texas Rangers reach the end of the line with Julio Borbon on Tuesday.

The club designated him for assignment last Tuesday, giving them 10 days to trade, release or assign him to the minors — if he clears waivers.

The Rangers were pursuing a deal for the outfielder, but if there is no trade in place by the end of Tuesday, he must be put on waivers and can be claimed by the team with the highest waiver priority based on worst won-loss percentage. At this point in the season, the priority is still based on last year’s record, which would give Houston the top pick.

The Rangers had expressed confidence in being able to pull off a trade for Borbon that brought them back some degree of value. It’s not clear, however, how ready Borbon would be to help a team if he’s received in a trade or claimed. He has just one at-bat this season and, since being designated for assignment, he has been at home.