Jose Bautista isn’t eligible to come off the disabled list until for another week, but the Blue Jays provided some encouraging news Tuesday on his strained left wrist.

Prior to Tuesday’s home game against the Oakland Athletics, Blue Jays manager John Farrell said Bautista has been “making good strides,” and that he hopes to put bat in his slugger’s hands “in a couple of days.”

“When he went down the night in New York, this has improved quicker than I think we all first envisioned,” said Farrell. “I think once he’s out of the woods, symptom free, that’s when we’ll put a bat in his hands.

The 31-year-old Bautista injured the wrist back on July 16 in New York during a swing in the eighth inning of a 6-3 loss. Bautista went down in considerable pain and it appeared as though he could be lost for a significant amount of time.

The following day however the MRI came back negative and Bautista expressed hope that he could return to the Toronto lineup when he is scheduled to come off the DL Aug. 1.

“It’s all about pain tolerance since there’s no structural damage,” Bautista told reporters July 17. “It’s what it is, a strain, just like tweaking your hamstring or something. As long as you can tolerate the pain, I’m not going to make it any worse unless I do too much, too soon. I’ll let pain dictate what I can do and hopefully two weeks is enough, I’m thinking it will be.”

On Tuesday Bautista was seen throwing baseballs to a team trainer with his right hand while his left hand remained immobilized in a splint.

“The one thing he’s doing is there’s been more manipulation of the wrists side to side rather than just a straight on exercise, so that’s the progressive steps and there’s been no reproducing of the discomfort in those controlled settings,” said Farrell.

The Blue Jays also received good news regarding reliever Jason Frasor, whose MRI on his inflamed elbow ligament came back negative, ruling out the need for his third Tommy John surgery, at least for the time being.

The examination did not find any structural damage to Frasor’s elbow and he will remain in a “no throw” period for two weeks.

Also on Tuesday, injured closer Sergio Santos underwent surgery on his right shoulder. The Blue Jays hope to have him back in time for spring training 2013.