Jackson, 28, is eligible to come off the 15-day disabled list on Tuesday, so he could potentially play three games with Tacoma before the Mariners decide whether he's ready to return.
"We'll see," Mariners manager Lloyd McClendon said. "The one thing is I want him swinging well when he comes back."
Jackson twisted his ankle when he stepped on the corner of the first-base bag trying to beat out an infield single on May 3 in Houston. He was hitting .242 with 11 runs and five stolen bases in 25 games at the time of his injury.
Greg Johns is a reporter for MLB.com. Follow him on Twitter @GregJohnsMLB as well as his Mariners Musings blog. This story was not subject to the approval of Major League Baseball or its clubs.