© 2014 MLB Advanced Media, L.P. All rights reserved.

6/28/2014 6:52 P.M. ET

ASG votes leader Bautista eyes return vs. Brewers

TORONTO -- The Blue Jays hope to have Jose Bautista back in the lineup for Tuesday's series opener vs. Milwaukee.

Bautista, who has a strained hamstring, went through a series of running drills prior to Saturday afternoon's game against the White Sox. There's a slight chance he could play Sunday, but with an off-day coming on Monday it's likely that the club will wait an additional couple of days.

The Blue Jays are being very cautious with how they use Bautista, because if he appears in a game and aggravates the injury he would be forced to miss an additional 15 days. In this particular case, Toronto could backdate a stint on the disabled list to June 23.

"Trust me, he won't be out there if he's not ready to go," Blue Jays manager John Gibbons said. "We want to make sure he's going to be good and ready because we need him for the rest of the year."

The Blue Jays won't really know how Bautista is doing until he reports to Rogers Centre on Sunday. That should give a read on whether there is any additional soreness from the recent workout or if he is mostly in the clear for a return to the field.

Bautista currently leads the Major Leagues in fan voting for the upcoming All-Star Game in Minnesota. He is hitting .305 with 15 homers and 49 RBIs in 77 games this season.

Fans can cast their votes for starters at MLB.com -- online or on a mobile device -- using the 2014 All-Star Game MLB.com Ballot Sponsored by Experian until Thursday, July 3, at 11:59 p.m. ET. The 2014 All-Star Game will be played at Target Field on Tuesday, July 15 on FOX.

Mastroianni homers in first game after callup

TORONTO -- It didn't take long for veteran outfielder Darin Mastroianni to make his presence felt in the Blue Jays' lineup.

Mastroianni, who was promoted from Triple-A Buffalo on Saturday morning, hit a two-run homer for Toronto in its 4-3 loss to the White Sox. The shot to deep left-center field was even more impressive considering it came off Chicago's No. 1 starter Chris Sale.

The Blue Jays added Mastroianni to the roster to provide some more depth vs. left-handed pitching. That's something the club has been sorely missing with Jose Bautista and Brett Lawrie currently unavailable because of injuries.

"To be honest with you, I didn't even know they were throwing a lefty today until about 11:45 p.m. last night," said Mastroianni, who went 1-for-3. "I got the call to say I was coming up and I checked and saw Sale on the probables. I was like, 'Oh boy, here we go.'"

Mastroianni's time in Toronto could be relatively short-lived. Bautista is expected to make his return to the lineup on Tuesday, but Mastroianni could save his spot by beating out Anthony Gose to become the club's fourth outfielder.

The 28-year-old Mastroianni has spent parts of four seasons in the Major Leagues. He is a career .218 hitter but has the ability to play all three outfield positions and has been relatively effective vs. lefties in a small sample size.

"I want to try to help," Mastroianni said. "This team is in first place, it's all about winning here, try to do my best to help us win. We just fell a little short there at the end."

Toronto optioned left-hander Rob Rasmussen to Buffalo in order to make room on the 25-man roster for Mastroianni. Rasmussen has appeared in seven games for the Blue Jays this season and has allowed four runs with seven strikeouts and four walks over six innings.

The latest move means the Blue Jays will temporarily go with a six-man bullpen. Another move could be on the horizon, but if the bullpen remains rested then it's likely that the club will carry the six relievers until Bautista returns.

Gregor Chisholm is a reporter for MLB.com. Read his blog, North of the Border, and follow him on Twitter @gregorMLB. This story was not subject to the approval of Major League Baseball or its clubs.