In 2005, he won the US Open Boys' Singles title, beating Jérémy Chardy in the final.

Sweeting served as a practice partner for the U.S. Davis Cup team in the 2006 World Group semifinal against Russia in Moscow.

Sweeting captured the Dallas Challenger singles title in February 2009, without dropping a set.

In April, at the US Men's Clay Court Championships in Houston, Texas, Sweeting and doubles partner Jesse Levine lost to Americans Bob and Mike Bryan, ranked no.

At the U.S. Men's Clay Court Championships in Houston, Sweeting won his only ATP World Tour singles title by beating Kei Nishikori of Japan in the final in straight sets.