That question rose in the midst of Thursday night's 3-2 loss, which allowed the Yankees to complete a three-game sweep at Yankee Stadium.
Smith beat out an infield single in the second, then ended the inning when he got thrown out after getting into a rundown between second and third following a single by Jesus Sucre that drove home Logan Morrison.
Bourjos, like Smith, is an outfielder who has plied his trade with his legs, so he felt for Smith.
"Obviously it's nothing you want to mess around with," Bourjos said. "I've dealt with some hamstring injuries in the past. Normally it's something that creeps up on you and gets worse if you don't take care of it. Obviously, it's probably smart that he did the right thing, addressing it, and he's back in there [Friday] or Saturday."
If Smith needs to go on the disabled list, the Rays don't have a lot of options. Rasmus should start a rehab assignment this weekend and that isn't likely to be rushed. Meanwhile, shortstop Willy Adames is the only position player at Triple-A Durham, other than catcher Curt Casali, who is on the 40-man roster.
There's the possibility that Tim Beckham and Daniel Robertson, who both worked in the outfield, could see some time there. Or the new and improved Corey Dickerson -- 25 pounds lighter than last season -- might be out in left more often along with Bourjos. Given all the recent work done by the bullpen, the Rays might go with an arm if Smith goes to the DL.
One thing is for sure: If Smith is down, Bourjos is ready to go.
"I'm healthy, so knock on wood," Bourjos said. "Whatever they ask me to do, I'm ready to do. Nothing is going to change my approach at the plate. I just want to go out there and have some good at-bats. And hopefully some balls fall in."
Bill Chastain has covered the Rays for MLB.com since 2005.