Nottingham Forest boss Stuart Pearce has no intention of sending fit-again striker Dexter Blackstock out on loan.
Bryan Ruiz found himself frozen out at Fulham under Felix Magath, but will be offered a clean slate by Kit Symons.
Sloth has put pen to paper on a three-year deal after Leeds had agreed a fee, believed to be around £600,000, with Danish club Aarhus last Thursday. The 22-year-old is the Yorkshire club's 12th summer signing.
The midfielder has made eight appearances for Denmark after making his senior international debut in 2012 and was a starter in their 1-0 friendly defeat to England in March at Wembley.
Sloth has gained plenty of top-flight experience in Denmark, having first appeared in Superliga as a 17-year-old.
He had one year left on his contract with Aarhus, who were relegated from the top-flight last season.