Mohammed Sleem was a tennis player and lawyer who represented India at the Davis Cup and Olympic Games. He competed in the singles event at the 1924 Summer Olympics, reaching the third round in which he lost to eventual Olympic champion Vincent Richards. With compatriot Sydney Jacob he competed in the men's doubles event and lost in the first round. Between 1915 and 1931 he won 27 career titles.

The men's singles tennis competition was one of five tennis events at the 1924 Summer Olympics. There were 82 competitors from 27 nations. Nations were limited to four players each, as they had been in 1920. The event was won by Vincent Richards of the United States, the nation's first victory in the event since 1904 and second overall. France and Italy each earned their first men's singles tennis medals, with Henri Cochet's silver and Uberto De Morpurgo's bronze, respectively.