Sajir is out of Simple Magic (Invincible Spirit), a winner at two who was placed in the Gr.3 Sirenia Stakes. He is a half-brother to the dual winner First Kingdom (Frankel), dam of Nahraan (Make Believe), winner of the Listed Glasgow Stakes, so Simple Magic is also the second dam of Nahraan.

Second dam Cephalonie (Kris S) won once at three and had four other winners. She also produced Simple Magic's full sisters Festivale, winner of the Listed Sandringham Handicap and placed in the Gr.3 Nell Gwyn Stakes, and Arctic Gyr, winner of the Listed Prix de Saint-Patrick, who later raced in Hong Kong as Invincible Dragon. Two of her other daughters are the dams of the smart Group performers Grande Dame (Lope De Vega), a Listed winner and Group 1-placed, and Eydon (Olden Times), winner of the Gr.3 Aston Park Stakes.

Third dam Heraklia (Irish River) never raced and had three other winners, among them Fifty Oner (Fusaichi Pegasus), a Listed winner who was Group 2-placed.

Fourth dam Hydro Calido (Nureyev) won the Prix d'Astarte, then a Group 2, and was second in the Gr.1 Poule d'Essai des Pouliches. She is a half-sister to the Gr.1 Prix Morny winners Coup De Genie and Machiavellian, both by Mr. Prospector, and to Exit To Nowhere (Irish River), winner of the Gr.1 Prix Jacques le Marois.

Simple Magic has an unraced 3-year-old full-brother to Sajir named Saahir, a 2-year-old colt by Dark Angel named Conspiracist and a filly foal by Earthlight.