"I feel really good, hopefully I'm playing tomorrow," said Teixeira, who missed his second straight game on Saturday with a bruised right knee. "I feel really good about the steps we made today."
Teixeria received a "ton" of treatment on Saturday, but said he was able to work out and take some swings.
"I put myself through a little bit of jogging," Teixeira said. "(My knee) is still a little sore but to the point where I think I should be able to play tomorrow.
"If I make as good improvements tomorrow as I made today, I should be OK."
Teixeira said he also was concerned with his right hamstring tendon as well as the knee.
"You don't wanna mess with that if it's not feeling right and too tight, you don't wanna push it," Teixeira said. "So that got a lot better today, and hopefully I'll be good for tomorrow.
"I had some swelling and tightness in my hamstring tendon and patches of my knee. You don't wanna mess with that."
Teixeira suffered the injury to his right knee on Thursday night, when he was hit by an 83-mph cutter from Boston Red Sox right-hander Alfredo Aceves. He sat out of Friday's series opener against the Toronto Blue Jays as well.
"It's just getting through the soreness, and the soreness will go away," manager Joe Girardi said. "It's not like he has a sprained ankle or anything. He has a bruise, and that will go away."
Nick Swisher, the team's everyday right fielder, started at first base in place of Teixeira.
The Yankees beat the Blue Jays 6-4 on Saturday at Yankee Stadium.
The 31-year-old Teixeira is hitting just .248 in 134 games this season but has belted 35 home runs and also has 100 RBIs.
Mike Mazzeo is a regular contributor to ESPNNewYork.com.