ARLINGTON, Texas - Oakland’s two prize left-handed pitching prospects both will be in action Tuesday at Class-A Stockton, a major development for the A’s.

A.J. Puk will start for the Ports on Tuesday, though the team plans to bring him back as a reliever this season because of inning limitations as he returns from Tommy John surgery. Jesús Luzardo will follow him and throw three innings.

Puk had elbow ligament replacement surgery 15 months ago and Luzardo was shut down with a shoulder strain in late March. Puk, 24, had been projected to be in Oakland’s rotation last year and Luzardo, 21, this year.

Because neither is on the 40-man roster, there is no 30-day rehab-assignment limitation, and the A’s are likely to take things slowly with both pitchers, but at some point in the next month or two, it’s conceivable that Puk will be in Oakland’s bullpen and Luzardo a candidate for the rotation.

Susan Slusser is a San Francisco Chronicle staff writer. Email: sslusser@sfchronicle.com Twitter: @susanslusser