That makes it likely that he will become the ninth-fastest active player to reach the 1,000-run mark.
Alex Rodriguez is at the top of the chart, needing just 1,261 games. His first 627 runs and 790 games were with the Mariners.
The next four players ranked behind A-Rod are Albert Pujols (1,306 games), Derek Jeter (1,331), Todd Helton (1,400) and Carlos Beltran (1,438).
Ichiro scored at least 100 runs in each of his first eight seasons, including a career-best 127 in 2001.