Burrell, out since May 11 with a neck strain, worked out before Wednesday night's game against the Los Angeles Angels. He will join Single-A Charlotte on Thursday after playing Monday and Tuesday for Double-A Montgomery.
Bartlett, placed on the 15-day disabled list May 26 due to a sprained left ankle, ran the bases on Wednesday. Tampa Bay manager Joe Maddon said Bartlett could play in a minor league game by this weekend.
Scott Kazmir, on the DL with a strained right quadricpes and is also refining his mechanics, is scheduled to pitch in a three-inning simulated game Friday.