The left-hander was put on the 15-day disabled list May 11. He was examined by Dr. James Andrews last week and had his knee drained. Sabathia also received a cortisone and stem cell injection Thursday to treat a degenerative cartilage condition.
The team confirmed Monday that the procedure means Sabathia probably will remain sidelined through at least the end of June, maybe longer.
The 27-year-old rookie left Saturday's game against Houston in the seventh inning with a limp. He was put on the disabled list Sunday.
Tejada is serving a 105-game suspension he began last year for testing positive for an amphetamine.